Question

X - 1 = ( 2 - x ) ^2

Answer 1

x=1

Explanation:

x-1=(2-x)^2

x-1=4-2x-2x+x^2

x-1=4-4x+x^2

5x+x^2=5

x^2=1

x=1

Answer 2

x = 2 , x = 3

Explanation:

x - 1 = ( 2 - x )²

Expand the terms in the bracket

That's

x - 1 = x² - 4x + 4

x² - 4x - x + 4 + 1 = 0

x² - 5x + 6 = 0

Solve the quadratic equation

x² - 5x + 6 = 0

(x - 2) (x - 3) = 0

x = 2 , x = 3

Hope this helps you