SOLUTION: x-2/x+1=x+1/x-2 solve for the variable X, if the solution is undefined please state that in the answer. Provide a check for answer thank you. I think this problem is undefined, but

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x-2/x+1=x+1/x-2 solve for the variable X, if the solution is undefined please state that in the answer. Provide a check for answer thank you. I think this problem is undefined, but      Log On


   

Question 932225: x-2/x+1=x+1/x-2 solve for the variable X, if the solution is undefined please state that in the answer. Provide a check for answer thank you. I think this problem is undefined, but I'm not sure. Thank you for your help!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2%29%2F%28x%2B1%29+=+%28x%2B1%29%2F%28x-2%29
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
%28.5-2%29%2F%28.5%2B1%29+=+%28.5%2B1%29%2F%28.5-2%29
%28-1.5%29%2F1.5 = 1.5%2F%28-1.5%29
-1 = -1