Answer: x = 11, x = -1
Step-by-step explanation:
(x - 5)² - 38 = -2 has two solutions
(x - 5)² = 36 added 38 to both sides
x - 5 = ±6 took square root of both sides
x = 5 ± 6 added 5 to both sides
x = 5 + 6 x = 5 - 6 separated into two equations
x = 11 x = -1 solved both equations