SOLUTION: The sum of a number and it's reciprocal is 13/6. Find the numbers.

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Question 224296: The sum of a number and it's reciprocal is 13/6. Find the numbers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of a number and it's reciprocal is 13/6. Find the numbers.
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Let the number be "x".
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Equation:
x + 1/x = 13/6
Multiply thru by 6x to get:
6x^2 + 6 = 13x
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6x^2 - 13x + 6 = 0
6x^2 - 4x - 9x + 6 = 0
2x(3x-2) -3(3x-2) = 0
(3x-2)(2x-3) = 0
x = 2/3 or x = 3/2
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Cheers,
Stan H.