if the roots of the cubic `x^(3)-12x^(2)+ax-64=0` are positive real numbers, then find the minimum value of a

The equation 2x ^(3) -3x ^(2) +p=0 has three real roots. Then find the minimum value of p.

If the roots of the cubic x ^(3) +ax ^(2) + bx +c=0 are three consecutive positive integers, then the value of (a ^(2))/(b +1) =

If the roots of the equaion x^(4)-12x^(3)+cx^(2)+dx+81=0 are positive then the value of c is The value of d is.Roots of the equation 2cx+d=0 is

If the roots of ht cubic,x^(3)+ax^(2)+bx+c=0 are three consecutive positive integers,then the value of (a^(2)/b+1) is equal to

If x be real then the minimum value of 40-12x+x^(2)

If 2x^(3)+ax^(2)+bx+4=0 (a and b are positive real numbers) has three real roots. The minimum value of a^(3) is

If one root pf the equation t^(2)-(12x)t-(f(x)+64x)=0 is twice of other,then find the maximum value ofthe If one root of the function f(x), where x in R

If 2x^(3)+ax^(2)+bx+4=0 (a and b are positive real numbers) has three real roots. The minimum value of b^(3) is

If 2x^(3)+ax^(2)+bx+4=0 (a and b are positive real numbers) has three real roots. The minimum value of (a+b)^(3) is