Question

The sum of a number and 45 times its reciprocal is 14. Find the number or numbers.

Answer 1

Answer: 9 & 5

Explanation:

Let the number be x.

A/q,

`x+(45)/(x)=14=> x^(2)-14x+45=0`

Solving,

`x^(2) -9x-5x+45=0=>(x-9)(x-5)=0`

Thus, x=9 or 5.

The numbers are 9 or 5.