Question 980749
The dot over dot division symbol stopped the rendering.


{{{2x^2-(4/sqrt (13)) x+2sqrt (13) =0}}}



First adjust the second term:
{{{(4/sqrt(13))(sqrt(13)/sqrt(13))=4*sqrt(13)/13}}}



The original expression is equivalent to
{{{2x^2-(4sqrt(13)/13) x+2sqrt (13) =0}}}


{{{x^2-2sqrt(13)/13+sqrt(13)=0}}}


Formula for general solution of quadratic equation,
{{{x=(2sqrt(13)/13+- sqrt((4*13/169)-4*sqrt(13)))/2}}}


{{{x=(2sqrt(13)/13+- sqrt(4/13-4*sqrt(13)))/2}}}
you might be able to simplify this further, at least 


{{{x=sqrt(13)/13+- sqrt(1/13-sqrt(13))}}}