Why do we complete the square in the quadratic formula?

This is a visual way to understand Brahmagupta’s quadratic formula. #Shorts

Song Credits
Song: Kajra Re
Singers: Alisha Chinai, Shankar Mahadevan, Javed Ali
Music: Shankar-Ehsaan-Loy
Lyrics: Gulzar

Lucas Vieira animation
Cornell Mathematics professor David W. Henderson: Geometric Solutions of Quadratic and Cubic Equations.
But Why? Intuitive Mathematics (Archived)
MindYourDecisions posts

The Quadratic Formula – An Intuitive Explanation

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