Part 1: Solve each of the quadratic equations below and describe what the solution(s) represent to the graph of each. Show your work to receive full credit.
x2 - 36 = 0 and x2 = 8x - 12

Part 2: Using complete sentences, compare and contrast the graphs of y = x2 − 36 and y + x2 = 8x − 12.

Question

Part 1: Solve each of the quadratic equations below and describe what the solution(s) represent to the graph of each. Show your work to receive full credit. 
            x2 - 36 = 0   and   x2 = 8x - 12

Part 2: Using complete sentences, compare and contrast the graphs of y = x2 − 36 and y + x2 = 8x − 12.

anonymous · Answer

x^2 - 36 = 0

I can see immediately that x^2 - 36 = (x-6)(x+6) so then x can be 6 or -6.

zale101 · Answer

I'll do the first one for you because it looks easy.
All you have to do is take  36 to the other side of the equals.
x^2-36=0
with difference of squares
(x+6)(x-6)

x^2 - 36 = 0-> x^2 = 36 
 x = +/- 6 (so it can be positive 6 or negative 6)

anonymous · Answer

For the second equation, start by making it a quadratic equation:
x^2 - 8x + 12 = 0

Then you want to factor it by finding a, b such that a + b = -8 and ab = 12

anonymous · Answer

Thank you.