The quadratic formula is really useful, but its derivation is confusing to many. Like what is the point of “completing the square“ anyway? In this video, I show how “completing the square“ has a geometric interpretation--you are actually making the areas of two squares equal to each other!
Blog post (text/image summary):
You can read more about the history of the quadratic formula and its geometric roots from Cornell Mathematics professor David W. Henderson: ~dwh/papers/geomsolu/
While researching this post, I came across a website that offers a visual interpretation of the quadratic formula that helped me design the graphics:
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