SOLUTION: What is the solution set of the equation? x-2/x+4 = 2 - 4/x A. {2, 8} B. {8, 2} C. {16, 1} D. {1, 16}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is the solution set of the equation? x-2/x+4 = 2 - 4/x A. {2, 8} B. {8, 2} C. {16, 1} D. {1, 16}      Log On


   



Question 932616: What is the solution set of the equation?
x-2/x+4 = 2 - 4/x
A. {2, 8}
B. {8, 2}
C. {16, 1}
D. {1, 16}

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the solution set of the equation?
Question:: Is this what you meant to post?
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(x-2)/(x+4) = 2 - (4/x)
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Multiply thru by x(x+4) to get:
x(x-2) = 2x(x+4) - 4(x+4)
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x^2 - 2x = 2x^2 + 8x - 4x - 16
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x^2 + 6x - 16 = 0
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(x+8)(x-2) = 0
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x = 2 or x = -8
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Cheers,
Stan H.
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A. {2, 8}
B. {8, 2}
C. {16, 1}
D. {1, 16}