SOLUTION: what is x/x-1-3/x=1/2

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Question 351984: what is x/x-1-3/x=1/2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F%28x-1%29-3%2Fx=1%2F2
Use a common denominator 2x%28x-1%29

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%282x%5E2-6x%2B6%29%2F%282x%28x-1%29%29=%28x%5E2-x%29%2F%282%28x%28x-1%29%29%29
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%28x%5E2-5x%2B6%29%2F%282x%28x-1%29%29=0
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%28%28x-2%29%28x-3%29%29%2F%282x%28x-1%29%29=0
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For the fraction to equal zero, the numerator must equal zero,
%28x-2%29%28x-3%29=0
Two solutions:
x-2=0
highlight%28x=2%29
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x-3=0
highlight%28x=3%29