The numerator of a fraction is one more than its denominator if its reciprocal is subtracted from it the difference is 11/30 find the fraction.
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let numerator is x+1 and denominator is x
then according to question
(x+1)/x - x / ( x+1 ) = 11/30
after solving this equation we will get
11x^2 - 49x - 30 = 0
now find the factor of this quadratic equation
that is (11x+6) (x-5)
so x = 5
we take positive value not negative.
now put the value of x in x+1 / x
so fraction is 6/5
then according to question
(x+1)/x - x / ( x+1 ) = 11/30
after solving this equation we will get
11x^2 - 49x - 30 = 0
now find the factor of this quadratic equation
that is (11x+6) (x-5)
so x = 5
we take positive value not negative.
now put the value of x in x+1 / x
so fraction is 6/5
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