Question 1060489
Take 1/2 the x coefficient, square it and add it to both sides.
{{{x^2+x=11/4}}}
{{{x^2+x+(1/2)^2=11/4+(1/2)^2}}}
{{{(x+1/2)^2=11/4+1/4}}}
{{{(x+1/2)^2=12/4}}}
{{{(x+1/2)^2=3}}}
{{{x+1/2=0 +- sqrt(3)}}}
{{{x=-1/2 +- sqrt(3)}}}