SOLUTION: please help me find the partial fraction decomposition of the rational function {{{ (x-4)/(2x-5)^2 }}} thanks

Algebra ->  Rational-functions -> SOLUTION: please help me find the partial fraction decomposition of the rational function {{{ (x-4)/(2x-5)^2 }}} thanks      Log On


   

Question 478389: please help me find the partial fraction decomposition of the rational function +%28x-4%29%2F%282x-5%29%5E2+ thanks
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x-4%29%2F%282x-5%29%5E2+=+A%2F%282x-5%29+%2B+B%2F%282x-5%29%5E2
A%2A%282x-5%29+%2B+B+=+x-4
2Ax+-+5A+%2B+B+=+x-4
2A = 1
-5A + B = -4
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A = 1/2
B = -3/2
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