Question

How many solutions are in the solution set for the equation −2(x−8)2+12=4

Answer 1

Solve −2(x − 8)^2 + 12 = 4:

−2(x − 8)^2 = 4 − 12 = −8
(x − 8)^2 = 4
x − 8 = ±2 → x = 8 ± 2 → x = 10 or x = 6.

There are 2 solutions (x = 6 and x = 10).