SOLUTION: Solve: x/x+1 + x+1/x=13/6

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Solve: x/x+1 + x+1/x=13/6       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 478468: Solve: x/x+1 + x+1/x=13/6
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F%28x%2B1%29+%2B+%28x%2B1%29%2Fx+=+13%2F6
==> %28x%5E2+%2B+x%5E2+%2B+2x+%2B+1%29%2F%28x%28x%2B1%29%29+=+13%2F6
==> 12x%5E2+%2B+12x+%2B+6+=+13x%5E2+%2B+13x
==> 0+=+x%5E2+%2B+x+-+6
==> 0 = (x +3)(x - 2) ==> x = -3,2.
Both satisfy the original equation. These are the final answers.