If roots of equation `x^3-5x^2+2x+7=0` are `alpha,beta,gamma` then value of `alpha^2+beta^2+gamma^2` is

If the roots of 4-3x+5x^2+x^3=0 are alpha,beta,gamma then the value of 1/alpha+1/beta+1/gamma= ________ .

If alpha, beta and gamma are the roots of the equation x^(3)-px^(2)+qx-r=0 , then the value of alpha^(2)beta+alpha^(2)gamma+beta^(2)alpha+beta^(2)gamma+gamma^(2)alpha+gamma^(2)beta is equal to

If alpha, beta and gamma are the roots of the equation x^(3)-px^(2)+qx-r=0 , then the value of alpha^(2)beta+alpha^(2)gamma+beta^(2)alpha+beta^(2)gamma+gamma^(2)alpha+gamma^(2)beta is equal to

If roots of x^(3)+5x^(2)-7x-1=0 are alpha,beta,gamma then the equation whose roots are alpha beta,beta gamma,gamma alpha, is.

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) + 2x ^(2) - x+1 =0, then vlaue of ((2- alpha )(2-beta) (2-gamma))/((2+ alpha ) (2+ beta ) (2 + gamma)) is :

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

If alpha,beta and gamma are the roots of equation 144x^(3)-37x+7=0 then the value of (alpha+beta)^(2)+(beta+gamma)^(2)+(gamma+alpha)^(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)+3x-1=0, then equation whose roots are alpha^(2),beta^(2),gamma^(2) is