i understand how to do this, but wow i am not able to get the correct answer for this question.

(x-1/x-2) - (x+1/1-x) = -1

when i get rid of the denominators by multiplying both sides of the equation by (x-2)(1-x) i end up getting:

2x-x^2-1-x^2+x+2 = 3x- x^2-2

simplified:

x^2-3 = 0

When i use the quadratic formula to solve it get x=1.7

the answers are 0.2, 1.8

help?