Question

The sum of a natural number and its reciprrocal is 65/8. Find the number

Answer 1

let the no. be n
thus
n+1/n=65/8
=>8n^2+8=65n
=>8n^2-65n+8=0
=>8n^2-64n-n+8=0
=>8n(n-8)-1(n-8)=0
=>(8n-1)(n-8)=0
=>n=8(since n is a natural number)