Question 582084
x + {{{1/x}}} = {{{29/10}}}, just like you have it
multiply thru by 10x, cancel the denominators and you have:
10x(x) + 10 = 29x
10x^2 - 29x + 10 = 0; a quadratic equation
Use the quadratic formula, but this will factor to
(5x - 2)(2x - 5) = 0
two solutions
5x = 2
x = {{{2/5}}}
and
2x = 5
x = {{{5/2}}}, note they are the reciprocal of each other
:
:
Check with x ={{{2/5}}}
{{{2/5}}} + {{{5/2}}} = 
{{{4/10}}} + {{{25/10}}} = {{{29/10}}}