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
Since are of blue square is
Since red square is
We have the following relationship
Based on this, we get we get (here we get the pythagorean theorem)