Question 324633
In order for the quadratic to not have real roots, the discriminant must be less than zero.
{{{D<0}}}
{{{b^2-4ac<0}}}
{{{(4(k-1))^2-4(1)(4k^2)<0}}}
{{{16(k^2-2k+1)-16k^2<0}}}
{{{16k^2-32k+16-16k^2<0}}}
{{{-32k+16<0}}}
{{{-32k<-16}}}
{{{highlight(k>1/2)}}}