Question 943231
General solution for a quadratic equation,
{{{x=(k+- sqrt(k^2-4*15))/2}}}
{{{x=(k+- sqrt(k^2-60))/2}}}


Taking a guess that the plus-square root will work,
{{{(k+sqrt(k^2-60))/2=1/2}}}
{{{k+sqrt(k^2-60)=1}}}
{{{sqrt(k^2-60)=1-k}}}
{{{k^2-60=1-2k+k^2}}}
{{{-60=1-2k}}}
{{{60=2k-1}}}
{{{59=2k}}}
{{{k=59/2}}}
{{{highlight(k=29&1/2)}}}