Question

1/x-1 = 3/x-2 - 2/x-3 , com x ≠ 1, x ≠ 2 e x ≠ 3

Answer 1

1/x-1=3x-9-2x+4/(x-2)(X-3)
1/x-1=x-5/x^2-5x+6
x^2-5x+6=x^2-6x+5
x=-1