SOLUTION: Hi I need help with this problem. 5 over x-4 - 6 over x+3 = 1 Thank you Rachel

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Question 262722: Hi
I need help with this problem.
5 over x-4 - 6 over x+3 = 1
Thank you
Rachel
Answer by vksarvepalli(154) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2F%28x-4%29%29-%286%2F%28x%2B3%29%29=1
so %285%2F%28x-4%29%29=1%2B%286%2F%28x%2B3%29%29
%285%2F%28x-4%29%29=%28%28x%2B9%29%2F%28x%2B3%29%29
so 5%28x%2B3%29=%28x%2B9%29%28x-4%29
5x%2B15=x%5E2%2B5x-36
so x%5E2=51
so x=+%2Bsqrt%2851%29 & x=+-sqrt%2851%29