Blog post (text/image summary): http://wp.me/p6aMk-4kG
You can read more about the history of the quadratic formula and its geometric roots from Cornell Mathematics professor David W. Henderson: http://www.math.cornell.edu/~dwh/papers/geomsolu/geomsolu.html
While researching this post, I came across a website that offers a visual interpretation of the quadratic formula that helped me design the graphics: https://sites.google.com/site/butwhymath/algebra/the-quadratic-formula
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