SOLUTION: x/x^2-9 + 4/x+3 = 3/x^2-9 My answer is x^2=9 May I please ask for assistance? Thank you in advance.

Algebra ->  Linear-equations -> SOLUTION: x/x^2-9 + 4/x+3 = 3/x^2-9 My answer is x^2=9 May I please ask for assistance? Thank you in advance.       Log On


   

Question 335261: x/x^2-9 + 4/x+3 = 3/x^2-9
My answer is x^2=9
May I please ask for assistance? Thank you in advance.
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You don't show any steps of how you got to your answer and it's not a final answer either.
x%5E2=9 cannot be solution since it would lead to a division by zero.
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Use the common denominator, x%5E2-9=%28x-3%29%28x%2B3%29
x%2F%28x%5E2-9%29+%2B+4%2F%28x%2B3%29+=+3%2F%28x%5E2-9%29+
x%2F%28x%5E2-9%29+%2B+%284%28x-3%29%29%2F%28%28x%2B3%29%28x-3%29%29+=+3%2F%28x%5E2-9%29+
%28x%2B4%28x-3%29-3%29%2F%28x%5E2-9%29=0
%28x%2B4x-12-3%29%2F%28x%5E2-9%29=0
%285x-15%29%2F%28x%5E2-9%29=0
%285%28x-3%29%29%2F%28%28x-3%29%28x%2B3%29%29=0
5%2F%28x%2B3%29=0
No solution.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Fx%5E2-9+%2B+4%2Fx%2B3+=+3%2Fx%5E2-9
Multiply thru by x^2 - 9
x + 4(x-3) = 3
5x - 12 = 3
5x = 15
x = 3