Homework Help: math

Posted by diana on Saturday, July 16, 2011 at 3:36am.

if a number is subtracted from twice its reciprocal the result is 7/3. find the numbers.

math - diana, Saturday, July 16, 2011 at 4:12am
help me..
math - Reiny, Saturday, July 16, 2011 at 8:08am
let the number be x
the reciprocal of the number is 1/x
twice the reciprocal is 2/x

2/x - x = 7/3
multiply each term by 3x
6 - 3x^2 = 7x
3x^2 + 7x - 6 = 0
(3x - 2)(x + 3) 0

x = 2/3 or x = -3
math - diana, Sunday, July 17, 2011 at 6:44pm
@reiny.. thanks.. :)
math - Regie, Wednesday, August 31, 2011 at 6:32am
Thanks too...

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