Posted by Shreya on Saturday, January 7, 2012 at 12:51pm.
First, you have to simplify properly:
30/(x^2-25) = 3/(x-5) - 2/(x+5)
30 = 3(x+5) - 2(x-5)
You were ok multiplying through by x^2 - 25 but you then discarded the denominators on the right, which was incorrect.
3(x^2-25)/(x-5) = 3(x+5)
Anyway, now we are just left with
30 = 3(x+5) - 2(x-5)
which I'm sure you can solve. Just make sure your answer is not 5 or -5, because the original equation is undefined there. The fraction 3/(x-5) is not defined when x=5.
thanks Steve but i think im still messing up. i got 30 = x+30
and if i subtract 30 from each side then i only left with x that be no solution. i think i not doing something right.
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