Question

the difference between a fraction and it's reciprocal is 11/30. Find the fraction​

Answer 1

Answer:

Answer

Let the denominator be x.

Hence the fraction will be

x

x+1

Applying the given condition, we get

x

x+1

−

x+1

x

=

30

11

30((x+1)

2

−x

2

)=11(x(x+1))

30(2x+1)=11x

2

+11x

60x+30=11x

2

+11x

11x

2

−49x−30=0

Solving this quadratic equation, we get

x=

22

49±

49

2

−4(11)(−30)

∴x=5,

11

−6

Taking the negative value we get

11

−6

11

−6

+1

=

−6

5

Substituting the positive value we get

5

5+1

=

5

6

Answer 2

Answer:

answer in reciprocal is 30/11 ok