Visual Explanation of Completing the Square

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

See the original video here: https://youtu.be/T0HyWIFbsHQ

This animation is based on a visual proof due to Charles D. Gallant from the March 1983 issue of Mathematics Magazine: https://www.jstor.org/stable/2690382 (page 110)

To learn more about animating with manim, check out:
https://manim.community

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Music in this video:
Prelude No. 9 by Chris Zabriskie is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/

Source: http://chriszabriskie.com/preludes/

Artist: http://chriszabriskie.com/