Question 629591
 if a number is subtracted from twice its reciprocal the result is -23/5. what is the number?
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Let the number be "x":
2(1/x) - x = -23/5
Multiply thru by 5x to get:
10 - 5x^2 = -23x
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Rearrange:
5x^2 -23x - 10 = 0
Factor:
5x^2-25x+2x-10 = 0
5x(x-5)+2(x-5) = 0
(x-5)(5x+2) = 0
The number is 5 or -2/5
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Cheers,
Stan H.