Completing the Square Visually

This is a short, animated visual proof showing what is meant when we "complete" the square algebraically and justifying why the formula holds for positive real number​ #math​ #completingthesquare #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #algebra s. #mathshorts​ #mathvideo

To learn more about animating with manim, check out:

______________________________________________
Music in this video:

[Allahu_Akbar_the_one]

Wow! No one ever taught me completing the square in such way

[AnishThe]

This is the type of shorts we really need
Thank You so much for bringing this one to us

[awsomeman]

As a math major I’ve gone through multiple proofs for completing the square, and usually each time I’m like “yeah, I understand it, I guess, ” but this genuinely helps me understand it.

[SpudsthePotato]

This finally explains why this “technique” is called completing the square, I never really questioned the name or thought it meant something
until now.

[kokakolanormal]

This is what some schools lack. A way to appreciate math, like visuals

[manuelviudez]

So thats why it is called completing the SQUARE

[Irvin]

Math should also be taught in this interactive way. As someone with abstract thinking, I cannot truly absorb the lesson without understanding the big picture of it. This makes sense and it can help me appreciate math even more.

[InAMinMaths]

The difference of two squares can also be viewed in this way. Nice animation.

[BootyRealDreamMurMurs]

This is how math is supposed to be taught. the fact that people are amazed by this makes me saddened with the crummy education systems all over the world.

[draymondgreen]

Man its your fault i dropped out of high school bc had u been my teacher I woulda graduated with honors.. Great job very clear on your explaining 👍

[aps]

FINALLY, something entertaining to watch in YT shorts. Interesting videos found in YT shorts are scarce.

[unkownnumber]

I remember being confused about this in high school but that makes more sense

[ArturEmbergenov-uiqn]

x^2 + bx = (x + b/2)^2 - (b/2)^2 = x^2 + 2xb/2 + (b/2)^2 - (b/) ^2 = x^2 + bx.

[felixlafuente]

I hope this quality of work to be as valuated as it really is. Congratulations!

[nikitasvorin]

(x+a)^2 = x^2+2ax+a^2, so x^2+2ax = x^2+2ax+a^2-a^2, or (x+a)^2-a^2, for 2a=b, or a=b/2 we get (x+b/2)^2-(b/2)^2

[TheDigiWorld]

I really wish teachers explained Algebra like this

[jimhossain]

Congratulations you taught me more than the entire education system

[judenjilah]

most mathematical constants are based on geometry. The concepts are easily understood when explained geometrically like in this video

[ivanmehboob]

fuck i always had trouble with completing the square in hs. teachers need this channel badly

[cheekykiki]

Wowww this is amazing!!! I have to relearn completing the square for calc II lmao and this will help me remember it so much better 👏👏