SOLUTION: Solve The sum of a number and 6 times its reciprocal is -5. Find the number.

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Question 736687: Solve
The sum of a number and 6 times its reciprocal is -5. Find the number.
Answer by stanbon(75887) About Me  (Show Source):
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Solve
The sum of a number and 6 times its reciprocal is -5. Find the number.
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Equation:
x + 6(1/x) = -5
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Multiply thru by x to get:
x^2 + 6 = -5x
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x^2 + 5x + 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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