SOLUTION: when the reciprocal of a real number is subtracted from 1, the difference is equal to the number. find the number.

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Question 264821: when the reciprocal of a real number is subtracted from 1, the difference is equal to the number. find the number.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
when the reciprocal of a real number is subtracted from 1, the difference is equal to the number. find the number.
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Let the number be "x":
Equation:
1 - (1/x) = x
Multiply thru by x:
x - 1 = x^2
Rearrange:
x^2-x+1 = 0
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x = [1 +- sqrt(1 -4*1*1)]/2
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x = [1 +- sqrt(-3)}/2
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Note: x is NOT a Real number.
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Cheers,
Stan H.