SOLUTION: Find all numbers whose sum when added to its multiplicative inverse is 13/7

Question 742905: Find all numbers whose sum when added to its multiplicative inverse is 13/7
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all numbers whose sum when added to its multiplicative inverse is 13/7
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Solve:
x + 1/x = 13/7
7x^2 + 7 = 13x
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7x^2 -13x + 7 = 0
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x = [13 +- sqrt(169-4*7*7)]/14
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x = [13 +- sqrt(-27)]/14
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x is not a Real Number.
Cheers,
Stan H.
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