Question

Solve the following quadratic equation for all values of x in simplest form.
2(x – 5)2 = 32

Answer 1

x=1,9

Explanation:

First, we expand the equation into the form ax^2+bx+c=0

2(x-5)^2=32

2(x^2-10x+25)-32=0

2x^2-20x+18=0

x^2-10x+9=0 (divide both sides by 2)

(x-1)(x-9)=0

x=1,9