Answer:
x = 2 and x = 2
Step-by-step explanation:
Simplify this problem by factoring out the coefficient 2:
y=2x^2-8x+8 => 2(x^2 - 4x + 4)
Note that x^2 - 4x + 4 is a perfect square: (x - 2)^2.
y=2x^2-8x+8 = 2(x - 2)^2
Setting this last result = to 0, we get y = 2(x - 2)^2 = 0, which has a repeated solution: x = 2 and x = 2.
