square 2x-3 + square x -2= 2

Did you mean (2x-3)^2 + (x-2)^2 = 2 ?

I will assume you did

4x^2 - 12x + 9 + x^2 - 4x + 4 = 2
5x^2 - 16x + 11 = 0
(x - 1)(5x - 11) = 0
x = 1 or x = 11/5