SOLUTION: solve for x, show work. 1/x^2-7x+10 = x/x-5+1/x-2

Algebra ->  Rational-functions -> SOLUTION: solve for x, show work. 1/x^2-7x+10 = x/x-5+1/x-2      Log On


   

Question 940240: solve for x, show work.
1/x^2-7x+10 = x/x-5+1/x-2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1/x^2-7x+10 = x/x-5+1/x-2
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Multiply thru by (x-5)(x-2) to get:
1 = x(x-2) + (x-5)
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x^2 -2x + x -5 - 1 = 0
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x^2 -x -6 = 0
Factor::
(x-3)(x+2) = 0
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x = 3 or x = -2
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Cheers,
Stan H.
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