SOLUTION: Please help me solve: 3/x+3 - 1/x^2-9=1/x-3

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me solve: 3/x+3 - 1/x^2-9=1/x-3      Log On


   



Question 628607: Please help me solve:
3/x+3 - 1/x^2-9=1/x-3

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve:
3%2F%28x%2B3%29 - 1%2F%28x%5E2-9%29 = 1%2F%28x-3%29
the 2nd denominator is the difference of square and will factor:
3%2F%28x%2B3%29 - 1%2F%28%28x-3%29%28x%2B3%29%29 = 1%2F%28x-3%29
Multiply thru by (x-3)(x+3) and you have
3(x-3) - 1 = x + 3
multiply what's inside the brackets
3x - 9 - 1 = x + 3
3x - 10 = x + 3
3x - x = 3 + 10
2x = 13
x = 6.5