Question 833031
x is the number.
 

{{{(1/2)(x+1/x)=13/5}}}, which will become a quadratic equation during the steps toward finding x.


Getting started,
{{{(x+1/x)=26/5}}}
{{{5x+5/x=26}}}
{{{5x^2+5=26x}}}
{{{5x^2-26x+5=0}}}
You take from here.