Question

Given (x-1)^2=50, select the values of x

Answer 1

(x-1)² = 50
x-1 = ±√50

x-1 = -5√2   or   x-1 = 5√2
x = 1-5√2          x = 1+5√2

Answer 2

(x-1)²=50
Square root both side
√(x-1)²=√50
x-1=±√50
Add 1 to each side
x-1+1=1±5√2
x=1±5√2 is your correct answer and if you want me to solve it, here will be the answer.
x=1±5√2
x=1+5√2
x≈8.1

x=1-5√2
x≈-6.1. Hope it help!