document.write( "Question 910300: the numerator of a certain fraction exceeds its denominator by 2, and the fraction itself exceeds its reciprocal by 24/35. find the fraction \n" ); document.write( "

Algebra.Com's Answer #552381 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( " |Multiplying thru by 35d(d+2) so as all denominators = 1
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document.write( "35(d+2)^2 = 35d^2 + 24d(d+2)
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document.write( "35d^2 + 140d + 140 = 35d^2 + 24d^2+48d
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document.write( "24d^2 - 92d - 140 = 0
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document.write( "6d^2 - 23d - 35 = 0 (Tossing out the negative solution for unit measure)
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document.write( "(6d +7)(d-5) = 0
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document.write( "d = 5
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document.write( "Fraction is 7/5
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