If the equation `x ^(4)+kx ^(2) +k=0` has exactly two distinct real roots, then the smallest integral value of |k| is:

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If the equation x^(2) + 4x - k = 0 has real and distinct roots, then

If the equation x^(2)+4x+k=0 has real and distinct roots, then find the value of 'k'.

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.

The set of all positive real values of k, for which the equation x^(3) - 9x^(2) + 24x - k = 0 has three distinct real roots, is the interval :

The equations x^(2) - 8x + k = 0 has real and distinct roots if :

If the equation x^2+4x+k=0 has real and distinct roots, then k 4 (c) kgeq4 (d) klt=4

If equation log_(4)(2log_(3)(6+log_(2)(x^(2)+kx+9)))=1 has exactly two distinct real solutions,then least positive integral value of k,is