SOLUTION: I need help on this one: (x)/(x+5)-(5)/(x-5)=(x^(2)+25)/(x^(2)-25) I come up with no solution, I am not sure this is right. Can anyone help me solve?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help on this one: (x)/(x+5)-(5)/(x-5)=(x^(2)+25)/(x^(2)-25) I come up with no solution, I am not sure this is right. Can anyone help me solve?      Log On


   



Question 424421: I need help on this one:
(x)/(x+5)-(5)/(x-5)=(x^(2)+25)/(x^(2)-25)
I come up with no solution, I am not sure this is right. Can anyone help me solve?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(x)/(x+5)-(5)/(x-5) = (x^2+25)/(x^2-25)
Multiply thru by x^2-25
x%2A%28x-5%29+-+5%2A%28x%2B5%29+=+x%5E2%2B25
x%5E2-5x+-+5x+-+25+=+x%5E2%2B25
x%5E2+-+10x+-+25+=+x%5E2%2B25
-10x-25 = 25
-10x = 50
x = -5
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x=-5 makes the DENs = 0, so it's not allowed
no solution