SOLUTION: the difference of a number and two times its reciprocal is 7/3. find the numbers
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Question 421803: the difference of a number and two times its reciprocal is 7/3. find the numbers
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the difference of a number and two times its reciprocal is 7/3. find the numbers
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Let the number be "x":
Equation:
x - 2(1/x) = 7/3
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lcm = 3x
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3x^2 - 6 = 21x
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x^2 - 2 = 7x
x^2-7x-2 = 0
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x = [7 +- sqrt(49-4*-2)]/2
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x = [7 +- sqrt(57)]/2
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Cheers,
Stan H.
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