SOLUTION: solve: x/x^2 - 1 + 1/x - 1 = 1/x + 1 I could be wrong.... no solution?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve: x/x^2 - 1 + 1/x - 1 = 1/x + 1 I could be wrong.... no solution?      Log On


   

Question 156681: solve: x/x^2 - 1 + 1/x - 1 = 1/x + 1
I could be wrong.... no solution?
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F%28x%5E2+-+1%29++%2B+1%2F%28x+-+1%29++=+1%2F%28x+%2B+1%29

Common denominator=(x-1)(x+1)---because x^2-1 = (x-1)(x+1)



Add the numerators on the left side
%282x%2B1%29%2F%28%28x-1%29%28x%2B1%29%29=%28x-1%29%2F%28%28x-1%29%28x%2B1%29%29

If this is true, than 2x+1=x-1

2x%2B1=x-1

Subtract x from both sides
x%2B1=-1

Subtract 1 from both sides
x=-2
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I hope this helped!
-Alani