Question 196946: simplify the complex fraction
1/x-5 - x/x^2 - 25
/
5/2x
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! 1/(x-5) -x/(x^2-25)
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LCD is (x+5)(x-5) = x^2 -25
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{ (x+5) -x } / ( x^2 -25)
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5/ (x^2-25)
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now if we want to divide this by (5/2x),,, we could multiply by (2x/5)
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5 / (x^2 -25) * 2x/5 = 2x / (x^2 -25),,,,answer
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checking
with x=1,,original is ,,,- 1/12
and final answer is ,,,, -1/12,,,,ok
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