Explain why the equation (x-5) ^2-38=-2 has two solutions. Then solve the equation to find the solutions. Show your work.

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