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

 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

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