If `alpha , beta , gamma` are the roots of the equations `x^3+px^2+qx+r=0` find the value of `sum1/(alphabeta)`

If alpha, beta and gamma are the roots of the equation x^3+px^2+qx+r=0 , find the value of sum(1)/(betagamma) in terms of the coefficients .

If alpha, beta , gamma are the roots of the equation x^3+px^2+qx+r=0 . Find the value of the following in terms of coefficients. (i) sum1/(betar) (ii) sum1/alpha (iii) sumalpha^2beta

If alpha,beta,gamma are the roots of the equation x^3+4x+1=0, then find the value of (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1) .

If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0 , find the value of (i) (alpha)/(beta) + (beta)/(alpha) (ii) alpha-beta (iii) (alpha^(2))/(beta) + (beta^(2))/(alpha)

If alpha, beta and gamma are the roots of the equation x^(3) + 3x^(2) - 24x + 1 = 0 thebn find the value of (3sqrt(alpha)+3sqrt(beta)+ 3sqrt(gamma)).

alpha , beta , gamma are the roots of the equation x^3+3x^2+2x+1=0 . Find sumalpha^3 and sumalpha^(-2) .

If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0 , then find the value of alpha^2beta + alphabeta^2 .

If alpha,beta,gamma,delta are the roots of the equation x^4+4x^3-6x^2+7x-9=0, then he value of (1+alpha^2)(1+beta^2)(1+gamma^2)(1+sigma^2) is a. 9 b. 11 c. 13 d. 5

If alpha, beta , gamma are the roots of the equation x^3-3x+2=0 then the equation whose roots are 1/alpha,1/beta,1/gamma is :