SOLUTION: I am trying to solve the equation: (1/(x-3))+(1/(x+3))=(10/(x^2-9)) Thanks in advance.

Algebra ->  Equations -> SOLUTION: I am trying to solve the equation: (1/(x-3))+(1/(x+3))=(10/(x^2-9)) Thanks in advance.      Log On


   

Question 92635: I am trying to solve the equation: (1/(x-3))+(1/(x+3))=(10/(x^2-9))
Thanks in advance.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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:
Note that x^2 - 9 is the difference of squares and can be factored
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:
Multiply the equation thru by (x-3)(x+3), results:
1(x+3) + 1(x-3) = 10
:
x + 3 + x - 3 = 10
:
2x = 10
:
x = 10/2
x = +5
:
:
Check the solution in original equation
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%281%2F%282%29%29%2B%281%2F%288%29%29=%2810%2F%2816%29%29
%288%2F%2816%29%29%2B%282%2F%2816%29%29=%2810%2F%2816%29%29
:
Could you follow this OK? Any questions?