Question 932225
{{{(x-2)/(x+1) = (x+1)/(x-2)}}}
cross multiply
(x-2)(x-2) = (x+1)(x+1)
FOIL
x^2 - 4x + 4 = x^2 + 2x + 1
Combine like terms
x^2 - x^2 - 4x - 2x = 1 - 4
-6x = -3
x = -3/-6
x = +.5
:
Check this for x = .5
{{{(.5-2)/(.5+1) = (.5+1)/(.5-2)}}}
{{{(-1.5)/1.5}}} = {{{1.5/(-1.5)}}}
-1 = -1