Answer:
x cannot = 3 or -3; solution is x = 7/11.
Step-by-step explanation:
I believe you meant 6 / (x-3) + 5 / (x+3) = 10 / (x^2 - 9). Those parentheses are important, to avoid ambiguity.
Part A:
Then: x cannot be 3, as the first term would then be undefined.
Also: x cannot be -3, as then the 2nd term would be undefined.
Multiply all three terms by the LCD, which is (x-3)(x+3):
6(x+3) + 5(x-3) = 10
Performing the indicated multiplication,
6x + 18 + 5x - 15 = 10. Then 11x + 3 = 10, or 11x = 7, or x = 7/11.
This is the solution (Part B).
