SOLUTION: I am completely lost please help me. I have a few more like this one and need a little help so that I may solve the other problems. {{{9/(x-5)-1=8/(x+5)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am completely lost please help me. I have a few more like this one and need a little help so that I may solve the other problems. {{{9/(x-5)-1=8/(x+5)}}}      Log On


   

Question 97060: I am completely lost please help me. I have a few more like this one and need a little help so that I may solve the other problems.
9%2F%28x-5%29-1=8%2F%28x%2B5%29
Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
9%2F%28x-5%29-1=8%2F%28x%2B5%29
multiply by (x-5)(x+5) on both side

9%28x%2B5%29+-%28x%2B5%29%28x-5%29+=8%28x-5%29
9x+%2B+45+-x%5E2+%2B+25+=+8x+-40
rearranging the terms
x%5E2+-x+-110+=0+
%28x-11%29%28x%2B10%29=0+
x = 11 or x = -10
you can also use the quadratic formula to get the roots
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%281+%2B-+sqrt%281+-+4%2A+1%2A%28-110%29%29%29%2F%282%2A1%29
x+=+%281+%2B-+sqrt%28441%29%29%2F%282%2A1%29
x = 22/2 and x = -20/2
x=11 and x=-10