`f(x)=ax^(3)+bx^(2)+cx+d` has zeros `alpha,beta,gamma` where `alpha<0, beta,gamma>0` then the number of points at which `|f(x)|` is not differentiable is

f(x)=x^(3)-9x^(2)+24x+c has real roots alpha,beta,gamma then find the value of [alpha]+[beta]+[gamma] Where [] represents greatest integer function

Let f(x)=|x-2| and g(x)=|3-x| and A be the number of real solutions of the equation f(x)=g(x),B be the minimum value of h(x)=f(x)+g(x),C be the area of triangle formed by f(x)=|x-2|,g(x)=|3-x| and x and x- axes and alpha

If alpha,beta,gamma be the roots of ax^3+bx^2+cx+d=0 then find the value of sum 1/alpha .

Let f(x)=ax^3+bx^2+cx+1 has exterma at x=alpha,beta such that alpha beta < 0 and f(alpha) f(beta) < 0 f . Then the equation f(x)=0 has three equal real roots one negative root if f(alpha) (a) 0 and f(beta) (b) one positive root if f(alpha) (c) 0 and f(beta) (d) none of these

If alpha,beta,gamma be the roots of ax^3+bx^2+cx+d=0 then find the value of suma^2 ,

If the roots of the equation x^(3)+bx^(2)+cx-1=0 be alpha,beta,gamma such that (beta)/(alpha)=(gamma)/(beta)>1 then b belongs to the interval

Suppose that the equation f(x)=x^(2)+bx+c=0 has two distinct real roots alpha and beta. The angle between the tangent to the curve y=f(x) at the point ((alpha+beta)/(2),f((alpha+beta)/(2))) and the positive direction of the x-axis is

If (1+alpha)/(1-alpha),(1+beta)/(1-beta),(1+gamma)/(1-gamma) are the cubic equation f(x)=0 where alpha,beta,gamma are the roots of the cubic equation 3x^(3)-2x+5=0 ,then the number of negative real roots of the equation f(x)=0 is :