SOLUTION: 10/(x^2-25) - 1/(x-5) = 1

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Question 997675: 10/(x^2-25) - 1/(x-5) = 1
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B5%29%28x-5%29%2810%2F%28x%5E2-25%29-1%2F%28x-5%29%29=%28x%2B5%29%28x-5%291
Take the next steps, simplify, and solve.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
10/(x^2-25) - 1/(x-5) = 1 
10%2F%28x%5E2+-+25%29+-+1%2F%28x+-+5%29+=+1+, with x+%3C%3E+5 and x+%3C%3E+-+5

10 - 1(x + 5) = 1(x - 5)(x + 5) -------- Multiplying by LCD, x%5E2+-+25, or (x - 5)(x + 5)

10+-+x+-+5+=+x%5E2+-+25

5+-+x+=+x%5E2+-+25

x%5E2+%2B+x+-+5+-+25+=+0+

x%5E2+%2B+x+-+30+=+0

(x + 6)(x - 5) = 0 

highlight_green%28x+=+-+6%29       OR     x = 5 (ignore)