Question

Diffrence between a positive proper fraction and its reciprocal is 9/20.what is the fraction

Answer 1

Let the fraction be x/y
And its reciprocal =y/x
Its difference is given =9/20
So x/y - y/x = 9/20

After solving this you get
20x^2 - 9xy - 20y^2 = 0
Now its become factor
After solving this you get answer

Ans = 5/4