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

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

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.

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

the value(s) if k for which the equation 5kx^(2)-8x+2=0 has real roots

The smallest integral value of a for which the equation x^(3)-x^(2)+ax-a=0 have exactly one real root,is

Number of real values of k for which the equation (x+2)/(kx-1)=x has exactly one real solution is (A)0(B)1(C)2(D)3

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

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

Find the values of k for which the equation x^(2)+5kx+16=0 has no real roots.

Find the value of K for which the quadratic equation kx^(2)+2x+1=0, has real and distinct root.