Completing the Square (visual proof)

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 numbers. #mathshorts​ #mathvideo​ #math​ #completingthesquare #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #algebra
__________________________________________________________________
Background music, used according to CC BY-SA 3.0, is "The Road" from Esteban Orlando:
Esteban Orlando:
/ orlando-esteba. .
/ estebanorla. .
creativecommons.org/licenses/...
Music provided by RFM: • Video

[@darbylosey9612]

This channel is drastically underrated. Please keep up the good work!

[@MathVisualProofs]

Thanks! Tell your friends ;) I appreciate the feedback.

[@misoginainternalizadaopres7131]

Best explanation out there. Fast. Beautiful. Congrats

[@MathVisualProofs]

Thanks!

[@nipasy]

This is very cool. Keep posting these videos! :D

[@MathVisualProofs]

Thanks! I'll do my best to keep up with it :)

[@gr33n5murf]

holy shit, i remember this at high school and i was like "wtf, what "square?" whats that got to do with this whack looking equation? none of this makes any sense. how does this euqation complete a square?"
now, i understand. that's the problem with math at high school, no visual learning.

[@MathVisualProofs]

Hope some of my videos can help assist those who like to have a visual aspect :)

[@IAmCalvinMas]

Thank you for this, I'm now a step closer to understanding this beauty

[@MathVisualProofs]

Glad you enjoyed it!

[@luccsfranca]

I’ve watched countless videos b4 this one and couldn’t understand for s**t the logic behind it. Now I finally understood!! Thank u so much for this 🙏🏾

[@MathVisualProofs]

Glad it helped!

[@misoginainternalizadaopres7131]

Wow I finally understood!!

[@MathVisualProofs]

👍😀

[@m00nbeams42]

if i learned this in hs i wouldn’t have hated math :0:0

[@jaximusflindersincorporated]

Very cool

[@MathVisualProofs]

👍😀

[@aashsyed1277]

2st awesome video
Thanks you
Awesome

[@overlord3481]

2st

[@youssefhammady5728]

What is the software that you use in the video

[@MathVisualProofs]

I use manimgl. This is the software for python created by 3blue1brown

[@youssefhammady5728]

​@@MathVisualProofs Thank you❤️❤️

[@isaacchinyijie3825]

cant understand

[@JD-ee4df]

What are you struggling with?