SOLUTION: solve: x/x^2 -1 + 1/x-1 = 1/x + 1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve: x/x^2 -1 + 1/x-1 = 1/x + 1      Log On


   

Question 156667: solve: x/x^2 -1 + 1/x-1 = 1/x + 1
Answer by jim_thompson5910(35256) 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%2B1%29 Start with the given equation


x%2F%28%28x-1%29%28x%2B1%29%29++%2B+1%2F%28x-1%29++=+1%2F%28x%2B1%29 Factor x%5E2-1 to get %28x-1%29%28x%2B1%29


Multiply both sides by the LCD %28x-1%29%28x%2B1%29 to clear out the fractions.


x%2Bx%2B1=x-1 Distribute and multiply


2x%2B1=x-1 Combine like terms on the left side.


2x=x-1-1 Subtract 1 from both sides.


2x-x=-1-1 Subtract x from both sides.


x=-1-1 Combine like terms on the left side.


x=-2 Combine like terms on the right side.


----------------------------------------------------------------------

Answer:

So the answer is x=-2