SOLUTION: The sum of 2 times a number and 6 times its reciprocal is 19/2. Find the number(s).

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Question 130924: The sum of 2 times a number and 6 times its reciprocal is 19/2. Find the number(s).
Answer by stanbon(75887) About Me  (Show Source):
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The sum of 2 times a number and 6 times its reciprocal is 19/2. Find the number(s).
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Let the number be "x".
EQUATION:
2x + 6(1/x) = 19/2
Multiply thru by 2x to get:
4x^2 + 12 = 19x
4x^2 - 19x +12 = 0
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4x^2-16x-3x+12 = 0
4x(x-4)-3(x-4) = 0
(x-4)(4x-3) = 0
x = 4 or x = 3/4
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Cheers,
Stan H.