How To Prove The Quadratic Formula By Completing The Square
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- čas přidán 6. 07. 2024
- This algebra video tutorial explains how to prove the quadratic formula by completing square.
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I had a sudden urge to see a derivation of the quadratic formula at 12 am and I was not disappointed
Same
Same
Same what are the fucking odds
2:17 am for me 😅
Omfg same
Deriving quadratic formula has always been fun when I was in high school. It is good that you made a video for this. Nice work and smooth transitions!
I barely even use the quadratic equation I write it down but I dont substitute in the values i just use my calculator 😅
How do you enjoy it what makes you want to do it i also want to enjoy this its too difficult for me sometimes
You make me want to learn things just for the fun of it.
Same lol
Don't do quadratics
@@joshuasimon9127 But that's the fun part of math, once you learn more advanced concepts you'll be able to do and visualize anything with math
@@Nick-lx4fo wise words!!!
On god it should be for the fun
I don't know if this was ever shown to us in my algebra class, but this is a far simpler derivation of the quadratic formula than was shown in my workbook that I'm using for review, which was just too long and convoluted for my tastes.
This is much simpler and more straightforward.
The video is detailed and brilliant explanation, great job and honestly you deserve way more respect, credit and more money for your work.
This makes me remember my grade 9 math classes. We also encountered this so thank you for the nostalgia
Grade 9? Jesus ur a smart boi, Im learning this for the first time in grade 12 calculus!
Compared to my peers not really tho. I belong to a science highschool so its really science and math oriented and all the stuff they teach are advance
@@d0d0birdiexd78 Your lying or you just didn’t listen this is freshmen high school material. And are you calculating integrals using complete the square? That’s way harder.
@@mikuculus3720 *you’re (sorry I had to lol)
And believe it or not, I’m not lying, I’m learning this for the first time with my calculus 12 class. Maybe it’s something to do with the Canadian education system. Back in grade 9 we only really learned like terms, polynomials, and the quadratic formula itself. We only just learned about derivatives this year in calculus 12.
@@d0d0birdiexd78 Most people in America don’t take calculus senior year they just do pre calculus or algebra 3. I guess it’s a curriculum thing.
Omg you make me love mathematics when you upload this type of videos, thanks a lot !
u are the best teacher have learnt and understood it very clear thanks alot
Simple and straight to the point. I would like to know the app you are using for the blackboard. Thank you
Thanks for the tutorial!
I learned this in Algebra 1, Thank you for the lucid review,.
This channel takes curiosity to next level 🔥🔥
I love this so much. This equation is too true
Honestly, I love your videos. They're so simple and straight to the point. They're also very helpful. Thank you very much.👍👍👍👍👍👍👍👍👍
Hey do you understand where the b/à ‘disappeared’ to when we factor the perfect square?
Very clean and easy to understand
You’ve just saved me. I have done this last when I was in secondary school.
So im not learning this lesson rn but i just wanted to say that you have helped me so much throughout my whole school life,and if it werent for you and ur channel i would've failed every math test/quiz/exam
Basically...
Thank you and im pretty sure that I'm coming back to this channel in the near future
Very nice thank you so much I have learned already
Great video helped me a lot for school
Tq so much to the channel 🎉 well explained 👏 😊
You are a really good teacher
What math books would you recommend??
The best explanation ever learned😇
Thank you soo much😊
thank you so much for this video
Thank you!
Where was this video when I needed it 🙄😭
Wow just wow thanks!
Well explained ❤
Your voice calms me
Which platform do you use?
Thanks bhai bohot bohot dhnyavad🎉🎉🎉
Perfect 👍🏽
Thanks 👍😊
Thank you so much
4:32 more exactly sqrt(a^2)=|a| ( for example, this says that sqrt((-2)^2) != -2 ), but this does not change the expression for roots of a second order polynomial.
Wow!! It's amazing
Yes. Very clear.
Thanks a lot 👍
Thank You,
TYSM! My teacher asked me to do it and I did not know the way.
Introduction to liner programming ?????please liner graphs, graphical solutions of system of linear inequalities ??? Maximum and minimum values and also real life linear programming problems...thanks alot !!!!!!!
Thanks alot
For those that want some more practice exercises on this topic, I've got a video where I go through such exercises step-by-step to give you some more practice :) It might help some of you!
Omg thank you so much 😘
what app do you use?
Is this the same as transposition?
It’s good for all who want to know about it
Very good
Math is always fun as long as you are aware how things work! :)
quick question how does the a/b*x at 2:15 go puf at 2:57
mind blowing
Wow I love to have you in youtube
Thanks
Nice video
@1:30 you should first work out (x+b/2a)² and isolate x² + bx/a in order to *explain* why you need to take half and add (b/2a)².
I love this
I thought this man is father of chemo
This formul is very wonderful
Studying for my uni interview for maths, and oddly enough this is the first time I've learned this derivation
Emily do you understand where the initial b/a goes when we factor the perfect square??? I don’t get that part
@@esoheiyare5719when you expand the factored expression the initial b/a will still be there
Nice❤️
Brilliant
Don't we need absolute value when taking it out from radical?
Simolicity wonderful
STOP COMMENTING AND WATCH THE VIDEO!
Thanks, I’m on it.
why not simplify the √b^2 - 4ac and make it b - 2ac? pls enlighten me
I was wondering the same thing. How come only the denominator is affected?
This is a common algebraic mistake. (a+b)^c is *not* a^c + b^c, in fact it cannot be simplified with unknowns.
If you're saying that √b^2 - 4ac is equal to b - 2ac, then it should be the case that (b - 2ac)(b - 2ac) = b^2 - 4ac. However, doing this multiplication yields b^2 - 4abc + 4a^2c^2, which is most certainly NOT b^2 - 4ac.
I prove this then watch the video after
and yes, I got it right✅✅✅
well I did it two ways tho ,I use this method first the other method involves substitution ..h=b/2a and k=c-ah^2
unsig a(x+h)^2 +k=0....and basically substitute and solve for x ..genius😅
I am apalled that there are many Tutor’s in my engineering lab at UTSA that don’t know how to do this
Big teacher
im in algebra and I know we’re not supposed to learn quadratic formula until we learn factoring but I really wanna know
I have a question why the b^(2) under the radical sign, is not going to be "b" only? why only the denominator was the only to be taken by a square root?
pretty sure its because you're squaring the whole expression (b^2 - 4ac) and not all the expression can be simplified with a radical sign above it and would not cancel it as a and c are unknown so we cannot assume they are perfect square numbers. Also the denominator (4a^2) = (4*a^2) which can be simplified to (2a) as they are both square numbers - hope that helps but I'm not good at explaining things
@@jjoreton7165 oh my gosh I can't believe it base on how I understand you explained it very well. That does actually makes sense now. because the unknown values of a and c are not raised to 2 so that's why...
I really appreciate your explanation bro. that's spot on for me thank you so much....
1:30 square the half of b/a
Whole lotta magic
could you show the other method of completing the square?
This is how you complete the square
Huge request
This is basically math class, but better
Fun facts 😁
Plz some help from you for cracking India's biggest competitive exam jee help by adding some videos on it
Today we learned this at school
Are you 13
Aha!
or you could just make x= quadratic formula, then expand it to x, then youd get ax^2+bx+c=0
Never memorized this in highschool, i'd just derive it every time like an idiot
That's actually a big W tho
Please JG upload the older version of projectile motion 1 hour : 50 minute
nice
Can someone tell me why it is being divided by a?
@david-ue6ed yeah, because you can't complete the square if the coefficient of x² is not 1
Cool
That cool
(Ques #1) : In 2 minutes & 30 seconds, where does the second X vanished to while factoring the perfect square trinomial?
(Ques #2) : Also in the 4 min & 30 secs, why did you only take the square root of the denominator & not the numerator?
(Ques #3) : What is the order of operations? How do I know what's next in the chain of operations?
Where is b/a
This formula was given by an ancient Indian mathematician Shridaracharya
Fr?
was this formula given by Sridhara or by Muhammad ibn Musa al-Khwarizmi?? It should be Muhammad ibn Musa al-Khwarizmi.
@@mahadialam1055 Shridarcharya , Maybe later translated into arabic by that arab guy , You mentioned.
It is same as Hindu no. System.
Arab took it from India , Gave no system slight change then it became Hindu arabic no system.
Later that reached to west
@@mahadialam1055 it was Shridhara 💯
“the next thing we need to do” but…. how did you know to do those steps?
what do you mean?
Bro this is maths, he do this because requirment of x
@@ZoidVERSE like, its like “how to prove.” i want to know how to prove it, not an already created process. idk i guess.
@@yoursleepparalysisdemon1828 bro that's what he's doing tho. I don't understand what you mean. This is how the quadratic formula was discovered
@@ZoidVERSE yeah, he is just copying steps. i want to know how they came about. what is the intuition?
Oooh
This rules
Sridhar Acharya method is called quadratic formula
Right
Me watching this in year 7 ahh shit damn school gonna be hard
2 years later and you really thought year 7 was hard 😂
❤❤❤❤
I’ve done this 15 times and the answer is still wrong.. tf..
did you figure it out?
Where did multiplying 1/2 with b/a come in LOL 😭
it's called 'completing the square'. I recommend seeing the geometric reasoning for completing the square on CZcams. there are many videos for it
First