The number of negative integral values of `k` for which both roots of the equation `x^2 + 3kx + (k-1) =0` are less than or equal to 1 is

Number of non-negative integral values of 'k' for which roots of the equation x^(2)+6x+k=0 are rational is-

Find the nonzero value of k for which the roots of the quadratic equation 9x^(2)-3kx+k=0 are real and equal.

Find the value of k for which the roots of the quadratic equation 2x^(2) + kx + 8 = 0 will have equal value.

If the roots of the equation kx^2 + (k- 1) x - 1 = 0 are equal then find the value of k.

The number of values (s) of k , for which both the roots of the equation x^(2) -6kx + 9(k^(2)-k+1)=0 are real, distinct and have values atmost 3 is ________

Find the value of K for which x=2 is a root of the equation 3x^(2)-2Kx+5=0 .

Find the value of k for which the roots of the quadratic equation 2x^(2)+kx+8=0 will have the equal roots ?

The set of values of Kfor which both the roots of the equation 4x^(2)-20Kx+(25K^(2)+15K-66)=0, are less than 2, is given by

The value of k for which the quadratic equation 8x^(2) + 3x + k = 0 has both roots real and equal is