Number of integral values of `b` for which the equation `(x^3)/3-x=b` has three distinct solutions is____

The number of non-zero integral solution of K for which the equation (x^(3))/(3) - 4x= K has three distinct solution is

Number of integral values of k for which the equation 4cos^(-1)(-|x|)=k has exactly two solutions,is:

The number of integral values of k for which the equation |x^(2)-5|x|+6|=k has four solution is

Minimum integral value of k for which the equation e^(x)=kx^(2) has exactly three real distinct solution,

Find sum of all possible integral value (s) of 'p' for which the equation |x+(1)/(x)-3|=p-3 has exactly two distinct solutions.

The range of real values of ' p' for which the equation 2log_(3)^(2)x-|log_(3)x|+p=0 has four distinct solutions is

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is 1(b)2(c)3(d)4

Consider the expression g(x)=sin^(2)x-(b+1)sin x+3(b-2) where b is a real parameter Number of integral values of b for which the equation g(x)=0 has exactly one root in the interval (0,pi) are