The equation `x^4 – 2x^2 = a` has 4 distinct real roots, then

Find the values of k for which the equation x^(2)-4x+k=0 has distinct real roots.

If the equaion x^(2) + ax+ b = 0 has distinct real roots and x^(2) + a|x| +b = 0 has only one real root, then

If the equaion x^(2) + ax+ b = 0 has distinct real roots and x^(2) + a|x| +b = 0 has only one real root, then

Find the set of values of lambda for which the equation |x^(2)-4|x|-12]=lambda has 6 distinct real roots.

The equation |x-a|-b|=c has four distinct real roots,then

The real number k for which the equations 2x^3 +3x+k=0 has two distinct real roots in [0,1]

The real number k for which the equation : 2x^(3)+3x+k=0 has two distinct real roots in [0, 1] :