SOLUTION: Find all solutions. Be sure to check for extraneous solutions: 5/(x+2)- 4/(x^2-4) = (x-3)/(x-2)

Algebra ->  Average -> SOLUTION: Find all solutions. Be sure to check for extraneous solutions: 5/(x+2)- 4/(x^2-4) = (x-3)/(x-2)       Log On


   

Question 1115332: Find all solutions. Be sure to check for extraneous solutions:
5/(x+2)- 4/(x^2-4) = (x-3)/(x-2)

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Common denominator is (x-2)(x+2). Multiply left and right sides by this. Simplify and solve for x. Whatever you find, 2 and -2 are not solutions. Your given equation is undefined for them.

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5%28x-2%29-4=%28x-3%29%28x%2B2%29
5x-10-4=x%5E2-x-6
5x-14=x%5E2-x-6
x%5E2-6x%2B8=0
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