Question

The sum of a proper fraction and its reciprocal is 61/30. Find the fraction

Answer 1

let the fraction be k:1

k + 1/k = 61/30

k^2+1=61/30 x k

30k^2+30=61k

30k^2-61k+30=0

k=k =(61-√7321)/60=-0.409

k =(61+√7321)/60= 2.443