SOLUTION: x/(x-6)-6/(x+6)=72/(x^2-36)

Question 442607: x/(x-6)-6/(x+6)=72/(x^2-36)
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!

Notice
Then
What will our common denominator be between these three denominators? (x+6)(x-6), right.
So we can rewrite
Similarly we can rewrite
So now we have
Now we can solve solely for the numerator.

So and
But wait! We need to check if these solutions are extraneous. A solution is extraneous if it makes the expression undefined. (AKA: division by 0)
Our denominator is (x+6)(x-6), so it is 0 when x =6 or x=-6.
So both x=6 and x=-6 are EXTRANEOUS!
Thus there is no solution.

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