Find the least integral value of k for which the equation `x^(2)-2(k+2)x+12+k^(2)=0` has two different real roots.

What is the least integral value of k for which the equation x^(2) - 2(k-1)x + (2k+1)=0 has both the roots positive ?

Find the least positive value of k for which the equation x^(2)+kx+4=0 has real roots.

Find the least positive value of k for which the equation x^2+k x+4=0 has real roots.

Find the value of k for which the equation x^(2)-2(1+3k)x+7(3+2k)=0 has two equal roots, which are real.

The sum of integral values of k for which the equations (k-12)x^(2)+2(k-12)x+2=0 possess no real roots is

Find the values of k for which the equation x^2+5k x+16=0 has no real roots.

Find the values of k for which the equation x^(2)+5kx+16=0 has no real roots.

Find the value of k for which the equation x^(2)+k(2x+k-1)+2=0 has real and equal roots.

Find the value of k for which the equation x^(2)+k(2x+k-1)+2=0 has real and equal roots.

Find the value of k for which the equation 3x^(2)-6x+k=0 has distinct and real root.