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 ______________________________________________ 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/