SOLUTION: solve for x: 1/x+4+1/x-4=1/x^2-16

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve for x: 1/x+4+1/x-4=1/x^2-16      Log On


   

Question 373513: solve for x: 1/x+4+1/x-4=1/x^2-16
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x%2B4%29%2B1%2F%28x-4%29=1%2F%28x%5E2-16%29.
Multiply both sides by x%5E2-16, the lcd. Then
%28x%5E2-16%29%2F%28x%2B4%29+%2B+%28x%5E2+-+16%29%2F%28x-4%29+=+1,
x-4 + x+4 = 1,
2x = 1,
x = 1/2.