Find the value of `k` if `x^3-3x+k=0` has three real distinct roots.

Find the value of a if x^(3)-3x+a=0 has three distinct real roots.

Draw the graph of y = xe^(x) .Also (i) Find the range of the functionf (ii) Find the point of inflection. (iii)Find the values of k if 1xe^(x) =k has two distinct real roots

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

The value of k so that the equation x^(3)-12x+k=0 has distinct roots in [0,2] is

Find value of k if equation x^(3)-3x^(2)+2=k has i 3 real roots ii) 1 real root

The equation x^(3) - 3x + [a] = 0 , will have three real and distinct roots if (where [*] denotes the greatest integer function)

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

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 given equation has real roots: 9x^(2)+3kx+4=0

Find the values of k for which 4x^(2)-2(k+1)x+(k+4)=0 has real and equal roots.