Question 197763: I cannot get this answer right. my teacher has provided the answer and we have to do the figuring. I keep coming up with a different answer than provided; therefore, my figuring is wrong. The problem is:
1/x-1/x-1=6.
The answer provided is{-2,3} How is this answer figured, I keep getting a fraction for an answer. Please help
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! please check original problem
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1/x - 1/(x-1) = 6
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mult thru by x(x-1)
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(x-1) - x =6x(x-1)
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x-1-x =6x^2 -6x
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0 = 6x^2 -6x +1
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cannot factor ,,therefore use quadratic equation
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let a =(6),,b=(-6),,,c=(1)
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x= { -(-6) +/- sqrt { (-6)^2 -4 (6)(1) } } /2(6)
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x = { 6 +/- sqrt (36-24) } 12
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x= 1/2 +/- ( 3.464) / 12
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x= 1/2 +/- .2887
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x= .7886,,, or .2113
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checking
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for .2113,,,, 1/.2113 - 1/ (.2113 -1) = 4.73 +1.267 =6 ,,,ok
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for .7886,,, 1/.7886 - 1/(.7886-1) = 1.268 + 4.730 = 6,,ok
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