SOLUTION: solve; 1/(x-3) + 1/(x+3)=2/(x^2-9) can someone help me to set this problem up to solve.. I have found myslef confused and not certain where to start..

Algebra ->  Rational-functions -> SOLUTION: solve; 1/(x-3) + 1/(x+3)=2/(x^2-9) can someone help me to set this problem up to solve.. I have found myslef confused and not certain where to start..      Log On


   

Question 427086: solve;
1/(x-3) + 1/(x+3)=2/(x^2-9)
can someone help me to set this problem up to solve..
I have found myslef confused and not certain where to start..
Found 2 solutions by htmentor, Gogonati:
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean 2x%2F%28x%5E2-9%29!
This is solved as follows. First we need a common denominator to add the fractions.
Then fill in the missing factors for the numerators:
%28x%2B3%29%2F%28x%2B3%29%28x-3%29+%2B+%28x-3%29%2F%28x%2B3%29%28x-3%29
Adding numerators gives 2x
The denominator can be written as a difference of two squares: x%5E2+-+9
Putting it all together, we have
2x%2F%28x%5E2-9%29

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:+1%2F%28x-3%29%2B1%2F%28x%2B3%29=2%2F%28x-3%29%28x%2B3%29
Consider x different from -2 and 2, multiply both sides by (x-3)(x+3).
%28x%2B3%29%2B%28x-3%29=2
2x=2
x=1
Check:1%2F%281-3%29%2B1%2F%281%2B3%29=2%2F%281-3%29%281%2B3%29
-1%2F2%2B1%2F4=-2%2F8
-1%2F4=-1%2F4
Answer: the solution for this equation is 1.