If `alpha, beta and gamma` are three ral roots of the equatin `x ^(3) -6x ^(2)+5x-1 =0,` then the value of `alpha ^(4) + beta ^(4) + gamma ^(4)` is:

If alpha, beta ,gamma are roots of equation x^(3) - 7x +7 = 0 , then the value of alpha^(-4) + beta^(-4) +gamma^(-4) is

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, beta, gamma are roots of x^(3) - 2x^(2) + 3x - 4 = 0 , then the value of alpha^(2) beta^(2) + beta^(2) gamma^(2) + gamma^(2) alpha^(2) is

If alpha , beta , gamma are the roots of the equation x^3 +4x^2 -5x +3=0 then sum (1)/( alpha^2 beta^2)=

If alpha , beta , gamma are the roots of the equation x^3 +4x^2 -5x +3=0 then sum (1)/( alpha^2 beta^2)=

If alpha, beta, gamma are the roots of the equation x^(3) - 6x^(2) + 11x - 6 = 0 and if a = alpha^(2) + beta^(2) + gamma^(2) , b = alpha beta + beta gamma + gamma alpha and c = (alpha + beta) (beta + gamma)(gamma + alpha), then the correct inequality among the following is :

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) .