# How to Solve By Completing the Square (NancyPi)

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Published on August 28, 2018 by

How to complete the square when solving quadratic equations:

Completing the square means re-arranging the quadratic equation into the neat, "perfect square" form (x + number)^2 equals another number, or (x - number)^2 equals another number. The point of doing this is so that you can solve by just square-rooting both sides of the equation.

1) just X^2 (for ex: x^2 + 6x - 7 = 0), move constant to right, add (6/2)^2 to both sides, write left side as perfect square, and square root both sides to solve. Remember you get PLUS and MINUS solutions when you square root the constant side.

2) 2X^2 or 3X^2 or 4X^2 etc. (for ex: 2x^2 - 10x - 3 = 0), move constant to right side, DIVIDE EVERY TERM by leading coefficient 2 on left and right side, add (5/2)^2 to both sides, write left side as perfect square and square root both sides to solve.

3) -X^2 or any negative coefficient (for ex: -x^2 - 6x + 7 = 0), move constant to right side, DIVIDE EVERY TERM by -1 on left and right side. (NOTE: if you had -2x^2 in your equation, you would divide every term by -2 on left and right side). Then add (6/2)^2 to both sides, write left side as perfect square and square root both sides to solve.

If you don't have an X term in equation, (for ex: 3x^2 - 121 = 0), then you cannot complete the square. Just move the constant to the right, divide both sides by 3, and square root both sides to solve. Remember plus and minus solutions on the right.

For more of my math videos, check out: http://nancypi.com

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• Thanks this was really helpful.

• wow! I actually understood math for the first time..

• Ditto

• 3:10
* Why did she write the answer (3)², and not 3² ?
**What does “^’ mean?

• thanks for the video

• thanks nancy!

• I watch lots of tuts trying to get through college algebra at the ripe old age of 35, and you Nancy are the only one who explains things in a way my brain can comprehend! Thanks for these videos!!!!!!!

• this is so easy to understand! thank you!

• Off-topic. Just curious, Nancy. Are you a swimmer? The form of your body & long arms are similar to my daughter’s and she’s a swimmer. She’s in gr-9, that’s why I’m watching this.

• Nancypi you are so coool

• You look bored nancy what’s the matter?

• how do you write backwards

• Super helpful. Thanks a bunch!!!!!

• Wow you explained this so perfectly! Thank you so much 🙂 and you’re so pretty!

• As someone in calc I am looking to avoid this method… last resort for me is quadratic

• why is no one talking about the fact that she is writing backwards tho. That’s a SKILL

• she just flips the video after recording it.

• It is so helpful when they talk about:- 1) What is …… 2) why it should be done and 3) when it should be done. Thank you for the great video clip.

• really thank full .

• My God she made it so easy

• all positive comments only becuz of the looks. Look Nancy, u teach good and im no one to judge u, but these are all fake fans.

• nice and excellent your work is amazing

• But how to verify that our answer is right or not

• This is the first and only time I’ve completely understood the material. Thank you!

• Smart.. gorgeous..and cute

• I’ve always struggled with maths, remembering all the different methods and steps, I’m a high functioning Asperger’s, so I’m guessing it’s just a function of my brain.

• Andrew Cullum I’ve never had ASAP burgers. Are they delicious?

• @sakib tariq I’M DEAD 😂😂😂🤣🤣

• hey you should become a teacher for a school you’ll teach so much children better than most teachers do…

• This was really helpful, I appreciate how you go slowly and step by step!

• Nancy you’re the best🙅

• Is this an alternate method to the quadratic formula?

• I get to things there 1st i understood easily & 2nd i saw the hot girl

• nice mam this is very important for my exam and very useful for me

• Awesome channel I just subbed. Please sub back I can use the support. Also looking for people to collaborate with to make videos

• Beautifully explained!

• Beauty + brain = just a compliment.

• Not All heroes wear capes

• what amazes me the most is the way she writes on the mirror without getting confused. She writes in reverse

• From her perspective, is she writing backwards? Just asking…

• Melvin Odhiambo no she’s writing normally but she flips the video when shes editing so it looks normal to us

• thank you po Sis

• Her face still look pretty even the video’s in low resolution

• It tool me forever to figure it out. Shes actually inverting the footage so she can write regularly Irl.

• One of the greatest mysteries of mankind is – how the hell does she write backwards?

• I think she may be the original to use this novel idea. Maybe not, but she made it cool.

• I swear I thought it was editing but nah its too good, she’s actually a robot lol

• Umm well I think u know what is mirror effect

• @Aditya srivastava But look at her hand, if it was mirror effect then her hand would be backwardsright?

• @ComSciNerd well let’s come to a conclusion that she is a superhuman that could write backwards

• Very nice 👍👍👍

• hi what would the vertex of this equation be. thanks

• Great we need teachers like u beautiful and intelligent

• This helped me and I’m in the tenth grade

• Good for you kid👌 im 36 years old in college😂 learning algebra2.

• @Chica 95 yikes

• Nancy u hot

• @NancyPi on the second problem that you did you forgot to bring down your x^2 constant (the a value)
you should get 2(x-(5/2))^2=(31/4)
good video though

• your x values will be diffent as well

• Very nice nancy

• I dont know why I’m here this is so easy! Now explain how to do csci math please.

• Only thing I would suggest. Could you completely do the problem even if we did it in example 2. Instead of just saying it. Just cause some of us need to see it all the way through. Other than that I’m so grateful for your help. Actually better than my professor, so thanks a million 💯💪🏿

• Hermosora de mujer

• I would never miss my class if i had such a beautiful maths teacher <3

• I really enjoy my time with this,
Thanks very much

• completing the square is not fascinating But you are fascinating I wish I can meet you

• This helped me a lot since our teacher doesn’t explain every step. I had no idea of the part where you have to square root the both sides. It just like magic how our teacher jumps from one step to another without any explanation.

• Hello Nancy.
These videos are great. I’ve immediately subscribed for three reasons: –
1) I’ve taken on A level Maths and I’m struggling.
2) Your teaching method is nice and slow. Clear and concise.
3) You are very attractive so it’s extra motivation to watch your content.

Cheers m’dears.

• If you are a teacher especially on the internet please make sure that you are dressed properly your dress is good for 3 places of B
Bedroom
Bathroom
Beach
No where else

• Best video on the subject.

• X=-b(+-)sqrt b sq – 4ac/2a another way you could do these problems *the harder way*

• around 10:28… why cant I multiply both sides by each other so I can their…uh LCM… y’know the smallest term both go into, to get 72/8 which can become 9? why can’t I do that?

• Would the answer to that last have been: x+ square root of 3 = +- squaroot of 2?

• Wow you’re gorgeous

• 9:54 why have you chosen 2 why not another number?

• My brain gaining more cells 👌

• Thank You! Very much ❤️❤️i have a test tommorow and i finally understand ❤️🙏🙏🙏🙏

• Ora ero basa ne blasss aku🤣🤣🤣

• Sopo wong jowo seng delok angkat tangan

• I luv u thank you

• omg this video is legit

• Again! I love you

• Once again, thank you for your help.

• Love the video Nancy but can’t work out whether you’re left-handed or right-handed! Learning a lot from watching these videos. Have you done anything on Circle Theorems and Probability, especially the And / Or Rule and Conditional Probability?

• AAAAAAHHHHHHHHH!!!!!!!
How are you writing this backwards for us to see this????

• Okay nvm I see it now. Looked at her other vids.

• Lmao

• This is the only video I found that helped me

• No radical expressions if it can be a short, terminating number! Seriously, you want to then evaluate -sqrt(3) all over 2??
-5/2 is just -2.5, so (x – 2.5) = + – 7.75. Just solve this! It’s easy!

• shes so hot

• 5:00 where did 6x go

• It became 3

• She kinda hot tho

• This method of completing the square is so convoluted and over complicated, it really makes you appreciate the Quadratic Formula that we all take for granted

• you are the reason why i won’t fail add maths

• A beautiful lady explains a beautiful concept…

• i honestly dont think im straight anymore i wanna marry her

• At 4:28 where did the 6X go??

• I am never gonna get smarter, Ugly teachers only from now on!

• my test is tomorrow

• each lesson starts and equates to the ultimate answer = mathematical, beautiful.

• Why does Nancy look like she’s about to have a mental breakdown?

• yeah she sounds like she gon cry 🙁

• Grad school is stressful y’all. I just graduated with my math masters and nervous breakdown is usually just a couple steps away. 😉 She may be stressed in the making of this video and yet she shows up and delivers really valuable help. (Especially now that school is online)!

• cos her boyfriend is kinda wanker

• 8

• @Toph Beifong ?

• Ak study1024 is better than this channel

• Ak study 1024

• Ok boomer

• You’re an awesome instructor!!!

• Hi,happy to see thee here,bliss,XAMBUNJILOM

• Her smile after each step simply kills me

• haha

• Simp

• ik like why she look like she tryna flirt with us?

• Nancy is a evil witch in which she doesn’t know who the sorority girl that took her to a sun tanning bed to increase their intelligence and trick people into making this video to show off that intelligence when it was actually a depressive approach of exterminating the valentine day clones that my friend Samantha stopped through a religious boyfriend.

• My teacher doesn’t explain anything, for days now when she’s written the positive and negative next to the square root I’ve been thinking she was just underlining the positive symbol so it was clear to us😂🤦🏼‍♀️

• Ur hot

• Looks hottt

• So this is the power of the internet so much better then my shit math teacher

• useless stuff never to be used in life

• after seeing a bunch of your videos , i got to ask . can you do something thats not a factorial ?

• Black and Pink markers
Nancy in ypur area (with math) and also

• But why we need to solve it in this method because factorization method is much easier

• u see i already know how to do this…

• 🙂

• Math teacher should be like nancy

• What you tell guess

• Than math will be most eat subject write or wrong

• NancyPi literally saves my life every time! Honestly your explanations are very clear and you explain each step perfectly in a way I don’t forget me, btw Im comment number 1000 !!!!

• Thanks Nancy this helped me mémorise it and understand it a lot. I doubt I’ll forget how to complete the square for awhile aswell

• imagine sexualizing a math teacher. You people are disgusting.

• nancy r u ok? u seem very upset.

• she is too calm about this lmao. while I’m freaking out. 1 hr 53 min before the final LOL

• I’d have to practice this stuff for two months… It doesn’t stick..

• “You don’t have to like it, but you can like my video.”
I did.

• last sum is probably wrong because 6 over 2 is 3 , but u wrote it as 4 ..??

• Mistake at 17:33? (6/2)^2 = 3^2 = 9. On the RS 7 + 9 = 16 SR of 16 = +/- 4. SR of 25 should not be on the RS. Simple factoring gives answers of 1 and -7. Not -1 and 9 which (x – 4) = +/- 5 would yield.

• (× – 3)^2 = 9
(× – 3) = 3
X = 6

• Нэнси- учи теорему Виета и формулы с дискриминантом.
Твои примеры школьники России решат в 5 раз быстрее

• I think the main reason that Nancy is quite successful here is that she sets out why she is taking the steps she does (as some have mentioned). As a Math(s) teacher myself, I think another reason why some of those of you who have commented here think it’s easier to learn by watching a video is that, in class, the teacher is often distracted by disruptive pupils who try to make a game of stopping the learning process because they don’t want to be there in class. If you’ve taken the trouble to look this up on the internet then you’ve already invested some effort yourself, and you’ll take more interest in what’s happening, and you won’t have competing distractions either.

• This nothing but 2ab formet( a+b) *2

• Are you single? Let me know please.

• You need this method for circles, ellipses and hyperbolic functions.

• Wow its math autonomous sensory meridian response!

• Beautiful! Thank you for sharing.

• And what if it’s something with a leading coefficient that doesn’t factor out nicely, like 12x^2 -3x + 8?

• Uncomfortable Truth quadratic formula ?

• How did you get rid of the 25/4 in equ. 2x^2-10x-3

• video is well explained, firstly. but your silky smooth arm pits are a distraction.

• your last problem you lost me.

• The hair flip gets me every time

• Don’t say “ midle term” , rather say “ the coeficient of x”…so not to confuse people

• U are so cute.

• you are very beautiful nancy !

• Great video, thanks! Can’t understand why any of the Thumbs Down for it.

• What a beauty!

• ✌🏾

• U r so beautiful

• Thank you!!!!

• This is the best lecture I’ve ever seen.

• what happened to the +9?????

• God bless🙏🏽🙏🏽

• Iam 10,000th liker

• Why ??

• +/- Fascinating.
BTW, if you realize what you are actually doing on the cartesian plane you won’t forget the ‘+’ and ‘-‘ solutions, it becomes obvious that there are two solutions.

• AGS 2 is killing me

• Awesome teacher for sure. My professors suck compared to you . Thank you for helping people.

• she is so beautifull. I love how relaxed and calm she explains… Beautiful teacher and woman

• Bruh any Asians here learning this when they are 13

• I clicked the like button. Thank you for the exblination.

• Thanks Nancy!

• U sexy

• X=7 or x=-1

• Teacher, you are so beautiful

• Plot twist: She is right handed and writing normally on glass, and the video is flipped horizontally.

• Is she actually talking? I didn’t notice. 🤭 I’ll be her student.! Wear a bikini next time and watch your view count skyrocket. 🚀🚀

• sweet baby jesus!!!!!!!!!!!

• This is an educational video and people still disliked the video??

• Thx

• I was sure that your nick name was related somehow to the Python scripting language )))

• I only wish I had a math teacher which looked like her in college

• There is a reason we have never landed on Mars over 50 years after having landed on the moon. Engineers and mathematicians are still trying to figure out the calculations by completing the square.

• India did it

• @Coolboy 2312hahahaha.. what endia did…fail moon mission

• @Cheng chang Chu no man in 2014 indian rover landed on Mars and it’s INDIA not endia

• Isn’t anyone else impressed that Nancy is an MIT grad

• Again your my go to person when I need to learn something!! I tested into college level algebra, I’m now in pre-calculus and I’ve never learned this. My class mates have done this in high school. Thank you again !!! This will make my Math Journey much easier. I’m 68 years young and enjoying college!!!

• beauty and brains. love!

• She so sexy! I’ll marry her. 💍👰🏻👨‍👩‍👧‍👦

• So _this_ is what Billie elish did before singing!
Jk jk this really helped me understand thank you

• Beautiful

• Good video 👏 Hope to see more of you 😀

• Super sexy math teacher… woohoo.

• Hot for the teacher

• I’m sorry, what equation?… Smart and beautiful, yup.🌹

• This is so distracting

• all the random little smiles she does before steps. I lost.

• Weldone Nanci maam

• My god! I have a nephew to teach, so I came here, but my god she is so damm beautifull

• Adding number talken from your pocket it IS not possible and never seen or heard before

• Answer thé opération as the way it is without adding anything else

• You make me wanna like math 😉

• Who elese noticed that we don’t listen to things unless we want to, like how we don’t care to listen in class ,but when we need it we actually listen🤔🤔🤔

• Bonita y inteligente..smart and so pretty

• It’s taught for a reason, cuz after this if a student wants to take further maths, or in A levels 1st year math, they can determine if the quadratic graph will be a bell or a U, also you get to the minima and Maxima, also you get to sketch a quadratic graph fast rather than plotting everytime.

Phew.

• Very nice

• (x-1)(x+7)=0
what about factorization pretty nancy 😍❤ it is much easy

• does she have to write everything backwards??

• in the first example, what happened to the + 9 that you had as the constant term in front of x?

• 👍

• I want to follow you but I can”t because you are so hot please we are just students

• Oh, Nancy… no idea why we convert to vertex form of a parabola?

None at all?

• Amazing explanation, thanks Nancy for sav ng my ass , love you

• Did anyone catch she got the 2nd problem wrong

• really?

• this is the most helpful video yet

• A great instructor!

• you so boring cheer up stop making math more depressing than it is already

• great vid

• Great Nancy… Love your pattern

• This came back to haunt me in calc 2 for trig substitution. Fellas and gals, learn completing the square!

• I loove her shoulders…her voice,..her eyes..her smile..
Im.in love…

• damn chill out kid

• @Kram i’m 38 dude..whats your problem..even if i am a kid, thats my right to admire ..

• Completing the square with her? I would gladly complete all kinds of geometric shapes with her, not only a square.

• Nancy, can you tell me a real life application of a quadratic equation.

• Thanks

• at 5:45 what if the number isn’t a complete square what do you do?

• Hi my name is karas osama and you can call me Marko.
And I not understand the last question can you make another video.
thank you from Egypt

• Bruh this is SO much easier then how my teacher taught me!

• Last year, I fell sick and went into a coma. For a while, I had problems getting back my logic skills, but this year is different. I’ve reached an entirely higher level of my understanding of physics. I know where we came from and how we were created. Unequivocally, I do not agree with the bad things that happen here. I love you fellow human beings. I would help all of us, but that would take an extremely large amount of money, and a team of people who are extremely brilliant in mathematics, physics, chemistry, and biology. In addition, they would have to benevolent and trust worthy. I do not agree with the way we are being toyed with.

• 3) is identical to 1)

• what a friggin dinger.

• Nancy you are looking hot 🔥🔥 so sexy

• First and third can be factored.
1.) x^2 + 6x – 7 = 0
(x + 7)(x – 1) = 0

x + 7 = 0
x = -7
and
x – 1 = 0
x = 1

3.) -x^2 – 6x + 7 = 0

-1(x^2 + 6x – 7) = 0
-1(x + 7)(x – 1) = 0

-1(x + 7) = 0
-x – 7 = 0
-x = 7
x = -7

and
-1(x – 1) = 0
-x + 1 = 0
-x = -1
x = 1

The second one is the only one that really needs “Completing the Square”.

However, here’s a better way:
Ax^2 + Bx + C = 0
B/A C/A
B/A * -1/2 = -B/(2A)

(-B/(2A))^2 – (C/A) = (-B)^2/(4A^2) – C/A = (-B)^2/(4A^2) – (4AC)/(4A^2) = ((-B)^2 – (4AC))/(4A^2) = (B^2 – 4AC)/(4A^2)

x = (-B/(2A)) + Sqrt((B^2 – 4AC)/(4A^2))
x = (-B + Sqrt(B^2 – 4AC))/(2A)
and
x = (-B/(2A)) – Sqrt((B^2 – 4AC)/(4A^2))
x = (-B – Sqrt(B^2 – 4AC))/(2A)

Example 2x^2 – 10x – 3 = 0, solve for x.
x = (-(-10) + Sqrt((-10)^2 – 4(2)(-3)))/(2(2))
x = (10 + Sqrt(100 – (-24)))/4
x = (10 + Sqrt(124))/4
x = (10 + Sqrt(4 * 31))/4
x = (10 + 2*Sqrt(31))/4
x = (2 * (5 + Sqrt(31)))/4
x = (5 + Sqrt(31))/2
and
x = (-(-10) – Sqrt((-10)^2 – 4(2)(-3)))/(2(2))
x = (10 – Sqrt(100 – (-24)))/4
x = (10 – Sqrt(124))/4
x = (10 – Sqrt(4 * 31))/4
x = (10 – 2*Sqrt(31))/4
x = (2 * (5 – Sqrt(31)))/4
x = (5 – Sqrt(31))/2

x = (5 + Sqrt(31))/2
and
x = (5 – Sqrt(31))/2

the last one is even simpler
4.) 3x^2 – 121 = 0
x = Sqrt(-C/A)
and
x = – Sqrt(-C/A)

x = Sqrt(-(-121)/3)
x = Sqrt(121/3)
x = 11/Sqrt(3)
and
x = -Sqrt(-(-121)/3)
x = -Sqrt(121/3)
x = -11/Sqrt(3)

• thank you so much now I understand complete square unlike my math professor expect me solve problem without explain full detail skip step

• I’ve fallen in love with her, actually

• Thank u for talking through all the steps slowly!

• O my God this girl is wonderful in teaching mathematics, please try to reach me any time you up load a video of mathematics
I really appreciate you thanks

• If she was my teacher I would of passed.

• Nancy can you please do a tutorial on this question its driving me crazy….have fun with this cause i still dont get it and really need an explanation….thanks from Canada…

• Hard to learn something when your teacher is sexy

• Hi,be free born still free ,thanx,XAMBUNJILOM

• Nancy you are great teacher, not only teacher but also gorgeos. I try to fucus on the equation but i forget i just look at you. So try again and again. But anyway thanks for you sharing your education

• this teaching was so prolific

• Thanks a lot!

• Nancy’s lovely. Go Nancy!!

• Thanks Nancy mam

• U are from which country

• How does the sqwuare root of 16 have two possible answers? There is only 1, 4.

• You’re so cute its distracting.

• Very very helpful I hear screaming good grades on the way

• حل المعادلة من الدرجة الثانية بطريقة اكمال المربع

• This is so beneficial am in grade 10 and my teacher takes 1 week to explain the whole sum nicely but here in a short period of time i get it correctly in my head.I have an exam tomorrow and this is very beneficial.Thank you NancyPi

• ياصف هذا

• This method is easily explained by you, teachers did it in a different order or something which is way complicated. im following your method

• Miss NancyPi I missed out on med school because, in high school, I didn’t have a math teacher like you. I’ve decided to watch each one of your tutorials and conquer this beast that got in my way. Thank you

• At 1:30, you said “you can’t complete the square.” But you CAN! Just do this:
3x^2 – 121 = 0
3x^2 = 121 (adding 121 to both sides)
x^2 = 121/3 (dividing both sides by 3)
Now the left side is a perfect square! Proceed as in the other examples to get x = +|- sqrt(121/3), which is 11/sqrt(3), or (11 x sqrt(3))/3.
It’s just like the other problems except the coefficient of the x-term (the middle term) is zero! Half of zero is zero, so you just end up with (x + 0)^2 on the left side, which is just x^2.

• This is exactly why you can’t complete the square.:)

• Shiv Kanade what do you mean? Completing the square means making a perfect square on the left side of the equation. That’s what I did.

• OMG. Best video on YouTube. Thanks man!

• 😻

• Thakyou so much thankyou so much i was stuck on this question for the whole day and finally got it!!!

• Brains and beauty

• Do you have some video on hyperbola?

• She can teach me anything she wants.

• I like your detailed explanation and the detailed written steps. Thank you.

• —–>>>> hopeless. Me.

• “Well what do you know for *Completing the Square (NancyPi)* ”
” Psst { x=6 } Ten seconds / I.Q. 160″

• Poorly explained, articulating “root” and what that means as opposed to “divide by 2” is ‘teaching’ as opposed to ‘talking’. Very hot, but actually less edifying then my 6th

• Good technique. Thanks!

• TJANK YOU LOVE YOUR WORK👯‍♀️👯‍♀️👯‍♀️👯‍♀️👯‍♀️👯‍♀️

• THANK YOU

• Two big problem

• For me is incompréhensible. Not well explaining

• Always wonderful Nancy taaa

• I’m getting Jodi Arias vibes

• Thank you for explaining during coronacation. Better than my own teacher.

• I really loved the lesson very much

• 🤗❤🤗

• amazing, appreciate it

• u might be mit but have you ever studied in singapore HAHA

• People often don’t realize that the quadratic formula is really just completing the square for ax^2+bx+c=0. Basically, you can derive the quadratic formula using the completing the square method.

• wala i love you so much you helped me alot

• Facil x = 6 sale en firma directa xd 😘😊😉

• Charming as hell! You can get my like!

• My textbook explains things in such unnecessarily complicated ways lol. Thank you Nancy!

• I remember that Nancy used to work for some tuition company on Youtube and then she looked pissed and about to cry in every video. Now she looks alot happier to be teaching the masses under her name. You go Nancy!

• Isn’t the third answer wrong? Half of 6 isn’t 4 and the answer should have been the same because it was the same problem as #1 after the second step.

• Wish i had this math teacher

• 😀😍

• I’m a square… Complete me?

• so what is the two values of X in equation Nr.3

• The most gorgeous mathematician of all times.

• Beautiful, love math. A dream woman. Wow

• I appreciate you so much!!!

• I know this, but I came for the teacher

• I like the way how you explain it..
Thanks,, you beaut & intell…

• 3x^2 – 121 = 0 –> (x-0)^2 = 121/3 the zero is trivial but equation is in ‘complete the square’ format

• My 6-month-old grandson likes to watch your videos.

• when you divided -10 by shouldnt the out come be a positive cause and negitve and a negiitve make a positive

• Mirror? Perhaps but a straight on shot where’s the camera ?

• I cant concentrate with the numbers and square….

• thank you

• Teacher is so gorgeous

• DID ANYONE REALIZE AT THE DESCRIPTION OF the vid. it is stated that she is MIT GRADUATED? . Yes boys we were born just at the time to see this!!!

• Hi, saludos desde México

• Everybody blaming their teachers..I blame mine too 😂😂😂

• Lovely…

• during the lectue my eyes was not on lecture hhahaha….my eyes was on the madam’s neck ahahaha cute

• FOOT

• so fine

• Nancy pi we need you to solve this covid problem now 😂😂😂

• Wait, for problem one near the end she said x-3=4-3=1 and x-3=-4-3=-7, when what was written was x+3=4, so, are they both x-3 or is it meant to be x+3 and x-3?

• Solve the 1st equation we see A+B+C=1+6-7=0 then definitely the result will be x=1 and x=C/A=7/1=7. It works all the time when we realize that A+B+C=0 then X=1, x=C/A

• I like you and it’s rare for me to say that.

• Can she be better looking than she is smart? Yes.

• you are so beautiful thank you so much

• Hello..teacher .where are from

• What country you live in

• Thanks, very good apporsch,would you like to give me your whatsapp …..

• Im watching it while doing the test

• This was a life saver

• is no one else worried that shes being held hostage? why is she so nervous

• Hahahaha, what a mind

• I could never be a square, but nice video. ha ha

• Anyone notice for the first one x=a and x=c

• Halfway through the video I just realised I was looking at her the whole time. I feel like a creep.

• Yup, you must be

• make a video on what is needed to get into MIT, or atleast show how you got on

• The best teacher

• Thank you

• THANK YOU NANCY! 👍👍👍👍

• You are superb

• Very beautiful

• Hello

• If you can’t do fractions, forget algebra!

• I used to struggle with this in high school.
Now I can usually figure it out in my head.

• Lord knows shes fine ♥ hopefully this helped for the final

• someone do this …
X^2 + 3X -1 = 0

• ahh! ok
x^2+3x=1
uhhhhhhh
ya know what im too dumb nvm

• She looked like she went to sleep herself about 20 times while making this video

• ThAnK yOu, I finally get it

• After completing the square, please complete me by becoming my other half. 🙁

• No one is asking the important question: How does she talk from behind a glass? xD

• easy

• Are you THAT stupid?

• Microphone man

• Brilliant video you are my survival teacher you sound drunk as a skunk at 0.75 playback speed.

• Took me two days to solve one of these trying to do one of these with ADHD is hell but the again what isn’t?

• Ur a cutey pie. Will you be my girl friend? We can complete squares together.

• Im in love with you

• Would u please tell which software u r using?

• nobody going to talk about how she’s writing backwards?

• Nice one. Nancy x squre + 6x_7 = 0
_7+7 0+7= to 7 then cancel both _ 7 and the + 7. Then i will work on plus minus. This problems I need to work them on paper because i have to show you my two solutions which are my answers. Nice brave explanations.I have two different ways to solve those problems. I really like the way you are narrating on it mrs. Perfect explanations.

• how du u write backwards soooooooooooooooooooooooooooooooooooooooo well plz plz plz telllllllllllllll

• she looks terrified yo

• How are you able to write, seemingly, backwards?

• I sure wish my engineering professors were like Nancy. I would have understood things much better.

• She could hypnotize me any day.

• For equations where the coefficient is greater than 1, e.g 2x^2, tis method allows you to find the points where it crosses the x axis but it changes the minimum point (-h,k). Be aware of that. Completing the square is often used to find turning point and method here wont always work for that.

• Nice video 👍

• So pretty 😍😍

• Who is watching this u r more likely to be flirting or kind of so proud of what u r doing to be honest in my country kids of 12 doing this as easy as glass of water i dont know how u can be that confident ..lol its nothing baby try something harder .. u might get more views 😜😜😜

• ..
Great idea

• Love you😘😘❤️😘❤️😘❤️😘

• Mam you are very fast than my mind but I like your explanation❤❤❤

• #good maths #smart learning

• You are good with every maths concept i have ever watch u doing. Salute

• Excellent.

• Nancy, thanks for tips.you are smart and insanely attractive teacher))

• As a retired professor, I’m impressed in how Nancy is handling this tricky material.
The explanation is outstanding. Also, us sinistrals are very happy that she’s left-handed and very capable with this material.

• thank you!

• The usefulness of this is that most quadratics do not cross the x-axis at nice integer values. Factoring only works with nice values (no fractions or decimals), but completing the square and quad formula solve all quadratics including those that don’t cross the x axis at all (2 solutions in the imaginary number system). I prefer completing the square to quad formula when a=1 (no coefficient other than 1 on x² term). Usually it’s just add b² to both sides and simplify with a square root. Same solutions as quad formula and I think more efficient (unless we can use a spreadsheet just to enter a, b, and c). Oh, and completing the square is really valuable for other things like graphing conics.

• yooooouuuuuuuu taaaaaaaaalk tooooooooooooo slooooooooooow

• playback speed can go up to 2 times, or you can get a chrome extension buddy.

• So eloquent and pretty 🙂 yay for math

• 5:50 “easy”
Me: kill me now

• I feel you bro

• @Nokia 3310 lol

• Thanks… You are very nice in your explanation

• hey Nancy
are u camera cauncious

• Fact: she wrote all of that in backwards

• Bueatiful AND Extremly intellegent. The ladies will be jealouse and the guys will do well in class!

• Nancy this helped me a lot 🙌🏻💯

• that’s great move….thanks for your tireless effort you helped us with..

• What accent does she have? Its extremely soothing… Its an asmr video without even being made for one…

• I completed all my math courses, but now I’m watching this because Nancy is my YouTube crush.

• My math teachers never taught this to us and I’m studying engineering now lmfao, you’ll need this in calc 2 to solve integrals

• Who is watching 2 hour before test

• Nancy, you are doing a great job at explaining problems and showing the steps! Keep up the great work!

• It just a simple qutiouns I was make one table, and this table use solve all quadratic equation qutiouns

• nancypi = nancy3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481 117450284102701938521105559644622948954930381964428810975665933446128475648233 786783165271201909145648566923460348610454326648213393607260249141273724587006 606315588174881520920962829254091715364367892590360011330530548820466521384146 951941511609433057270365759591953092186117381932611793105118548074462379962749 567351885752724891227938183011949129833673362440656643086021394946395224737190 702179860943702770539217176293176752384674818467669405132000568127145263560827 785771342757789609173637178721468440901224953430146549585371050792279689258923 542019956112129021960864034418159813629774771309960518707211349999998372978049 951059731732816096318595024459455346908302642522308253344685035261931188171010 003137838752886587533208381420617177669147303598253490428755468731159562863882 353787593751957781857780532171226806613001927876611195909216420198938095257201 065485863278865936153381827968230301952035301852968995773622599413891249721775 283479131515574857242454150695950829533116861727855889075098381754637464939319

thats a small one

• u made teaching look easy, why the hell I go school

• I don’t usually like videos but when she says u don’t gotta like math but u can like my video, I feel like I just gotta like the video

• Mudah dipahami, tapi, bukannya ini ribet ya? Jika saat ujian pakai cara itu.

• Intinya diubah ke bentuk kuadrat sempurna

• so she is writing backwards? 🤔😂

• Good

• How do we know when to apply this method?

• (x – 3)^2 –> X^2 – 2.3X + 3^2 = 9 –> X^2 -6X = 0 –> X(X -6) = 0 –> x=0 and X=6

• You kind of look like billy eilish

• Mashallah u r best teacher may u live long

• We used to have glass windows in between the offices and they were great for brainstorming and we had a “leave it” note for the cleaner. It was great for communication. Everybody could see what everybody else was working on and could chip in and less time was wasted on formal unproductive meetings. That was the only thing which worked after they removed the drawing boards. CAD can never be as effective as a board for brainstorming or thinking aloud.

• I think it’s great that Nancy tells us that there are other, maybe better, ways to solve the equation! But of course, students still have to learn this method. Personally, I like the method, but that is personal preference. Great job, Nancy!

• Doesn’t anyone noticing that he is behind the glass and writing backwards??

• You’re so beautiful, same as these numbers

• I think I have figured it out your right handed.

• Just go through the video

• Thank you such a useful video! Quick to the point without any of the bs

• you are so so good amazing

• Her eyes are staring into my soul

• She explain so well a person like me also understood 🙂 thx

• Too much beauty in a single woman

• Thanks again Nancy for you’re invaluable info. Best regards. John.

• Great work , thanks

• im more impressed of how shes writing in reverse than how much better she is than my own teacher

• Helpful and valuable! As is always the case with your videos, Nancy.

• Thanks alot nancy for helping me.i Have a huge test tommorow and my math teather speaks GIBBERISH.thanks alot

• i still dont understand i think im just dumb

• on the first example. where does the “9” disappear once you get to (x+3) = 16? Or is it simply just once of those things in math we ignore once we used it to get the “16” to the right?
Anyone?

• Is it just me or does she look a little like heyimbee

• How does she getting +-√31/2 ??? its a mystery for me!?

• in 13:17 How does she getting +-√31/2 ??? its a mystery for me

• I haven’t seen the question I just kept seeing the teacher 😂 in the whole video 😂😂

• What a good teaching skill you have Miss Nancy!!
Loved ur video a lot.. Thanks for such a nice explanation.. Your teaching will definitely get us good marks in such bloody exams❤❤🥰👍👍