For what real values of k both the roots of equation `x^2+2(k-3)x+9=-0` lie between -6 and 1.

For what real values of a do the roots of the equation x^(2)-2x-(a^(2)-1)=0 lie between the roots of the equation x^(2)-2(a+1)x+a(a-1)=0

For what values of k , the roots of the equation x^(2) + 4x + k = 0 are real ?

For what values of k ,the roots of the equation x^(2)+4x+k=0 are real?

For what value of k, -2 is a root of the equation 3x^(2)+4x+2k=0 ?

For what value of k, is 3 a root of the equation 2x^(2)+x+k=0 ?

The values of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1 are given by

The value of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1, will always be greater than

Set of values of 'a' for which both roots of the equation x^(2) - 2x - a^(2) = 0 lie between the roots of the equation x^(2) - 2x + a^(2) - 11a + 12 = 0 , is

For what values of k, the equation x^2+2(k-4) x + 2k=0 has equal roots?

For what values of k are the roots of the quadratic equation 3x^(2)+2kx+27=0 real and equal?