Answer:
Step-by-step explanation:
I've included a graph to confirm the solution.
10 = 2(x - 5)^2 - 8 Subtract 10 from both sides.
10-10 = 2(x-5)^2 - 8 - 10 Switch
2(X - 5)^2 - 18 = 0 Divide through by 2
2(x - 5)^2/2 - 18/2 =0
(x - 5)^2 - 9 = 0 Expand the brackets.
x^2 - 10x + 25 - 9 = 0 Collect like terms
x^2 - 10x + 16 = 0 Factor
(x - 8)(x - 2) = 0
x = 8
x = 2
red: 2(x - 5)^2 -8
green: y = 10
