Problema Solution

If a number is decreased by its reciprocal, the result is 11/30. Find the number.

Answer provided by our tutors

If a number is decreased by its reciprocal, the result is 11/30. Find the number.

let no = x

reciprocal = 1/x

=> x - 1/x = 11/30

=> x^2 - 1 = 11x/30

=> 30x^2 -11x - 30 = 0

=> x = (11+61)/60 = 6/5

=> x = (11-61)/60 = -5/6

no is 6/5