Question

The sum of anumber its reciprocal is

`(13)/(6)`
find all such numbers..؟​

Answer 1

They are 2/3 and 3/2.

Explanation:

x + 1/x = 13/6

(x^2 + 1) / x = 13/6

Cross multiply:-

6x^2 + 6 = 13x

6x^2 - 13x + 6 = 0

(3x - 2)(2x - 3 ) = 0

x = 2/3 , 3/2.