SOLUTION: Solve 9/x-5 -1 =8/x+5 Thanks

Question 45186: Solve
9/x-5 -1 =8/x+5
Thanks
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
9/(x - 5) - 1 = 8/(x + 5)
9(x + 5)/(x - 5) - (x + 5) = 8(x + 5)/(x + 5)
9(x + 5)/(x - 5) - (x + 5) = 8
9(x + 5)(x - 5)/(x - 5) - (x + 5)(x - 5) = 8(x - 5)
9x + 45 - (x^2 - 25) = 8x - 40
x^2 - x - 110 = 0
(x - 11)(x + 10) = 0
x = 11 and x = -10

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