Proofs
Quadratic Formula
Let . Then Completing the square, we get Simplifying, we see
Pythagorean Theorem
http://jwilson.coe.uga.edu/emt668/emt668.student.folders/headangela/essay1/image2.gif
Since area of green square is a^2
Since are of blue square is b^2
Since red square is c^2
We have the following relationship
we get we get (here we get the pythagorean theorem)