SOLUTION: Solve the following equation. Separate your answers with commas. Repeated roots should only be entered once. 1/x-7 + 1/x-2 = 9/14

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve the following equation. Separate your answers with commas. Repeated roots should only be entered once. 1/x-7 + 1/x-2 = 9/14      Log On


   



Question 992196: Solve the following equation. Separate your answers with commas. Repeated roots should only be entered once.
1/x-7 + 1/x-2 = 9/14

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following equation. Separate your answers with commas. Repeated roots should only be entered once.
1/x-7 + 1/x-2 = 9/14
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Multiply thru by 14(x-2)(x-7) to get:
14(x-2) + 14(x-7) = (x-2)(x-7)
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28x -126 = x^2 - 9x + 14
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x^2 - 37x + 140 = 0
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x = 32.72... or x = 4.28...
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Cheers,
Stan H.
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