1. Prove the Quadratic Formula by completing the square on ax^2+bx+c=0
2. A picture that is 14 in by 20 in is to have an even border. If the area of the picture and the border is 352 in^2, how wide will the border be?
Please see the attached file for the complete solution.
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ax2 + bx + c = 0
ax2 + bx = -c
x2 + --- x = - ---
b b2 c b2
x2 + --- x + ----- = - --- + ...
The quadratic formula is proven by completing the square. A border of a picture is calculated using a quadratic equation.