Question

the denominator is one more than twice it's numerator. if the sum of the fraction and it's reciprocal is is 2 16\21 ,then find the fraction​

Answer 1

Step-by-step explanation:

Let the fraction be x/y According to the question

y = 2x + 1 ......(I)

x + y = 58

y x 21

=> x + 2x+1 = 58

2x+1 x 21

=> x^2+4x^2+1+4x = 58

x(2x+1) 21

=>105x^2+84x+21 = 116x^2+58x

=>(x-3)(11x+7)=0

=>x=3 or x=(-7) (not possible)

11

y=7

required fraction=3/7

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