Assume that p is a real number. In order for ` (x+3p+1)^(1/3) - (x)^(1/3) = 1` to have real solutions, it is necessary that

Assume that p_(1) is a real number.In order for (x+3p+1)^((1)/(3))-(x)^((1)/(3))=1 to have real solutions,it is necessary that

Assume that p is a ral number. In order of ""^(3) sqrt(x+3p+1) -""^(3) sqrt(x ) =1 to have real solutions, it is necessary that:

Assume that p is a ral number. In order of ""^(3) sqrt(x+3p+1) -""^(3) sqrt(x ) =1 to have real solutions, it is necessary that:

Exact set of values of a for which x^(3)(x+1)=2(x+a)(x+2a) is having four real solutions is

The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, if a belongs to

The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, if a belongs to

The equation abs(x+1) abs(x-1)=a^2-2a-3 can have real solutions for x if 'a' belongs to

Let p, p ne { 1,2,3,4} . The number of equations of the form px^(2) + qx + 1 = 0 having real roots is :

Show that there is no real number p for which the equation x^2 -3x + p =0 has two distinct roots in [0,1]