Completing the Square (visual proof)

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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

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Background music, used according to CC BY-SA 3.0, is "The Road" from Esteban Orlando:

Esteban Orlando:

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

darbylosey
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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.

grnmurf
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Best explanation out there. Fast. Beautiful. Congrats

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

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

IAmCalvinMas
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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 🙏🏾

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

mnbeams
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2st awesome video
Thanks you
Awesome

aashsyed
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What is the software that you use in the video

youssefhammady