5x22 125 Solve the equation above for X please show in deta

5(x-2)² = 125

Solve the equation above for X.

please show in detail, the answer is {3,-7}

Solution

5(x-2)² = 125

divide by 5 on both sides

5(x-2)²/5= 125/5

(x-2)²= 25

x-2=-(25) ,x-2=(25)

x-2=-5, x-2=5

x-2+2=-5+2 ,x-2+2=5+2

x=-3,x=7

x={-3,7}