Let `alpha, beta` are the roots of the equation `x^(2)+x+1=0`, then `alpha^3-beta^3`

Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

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

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

If alpha and beta are the roots of the equation 2x^(2) - 3x + 4 = 0 , then alpha^(2) + beta^(2) = ____

Let alpha, beta and gamma be the roots of equation x^(3)+x+1=0 , then (alpha beta(alpha+beta)+betagamma(beta+gamma)+gamma alpha(gamma+alpha))/(alpha^(2)+beta^(2)+gamma^(2)) is equal to

if alpha, beta, gamma are the roots of the equation x^(3) + 3x + 2=0 " then " (alpha^(3) +beta^(3)+gamma^(3))/(alpha^(2) +beta^(2)+gamma^(2))

If alpha and beta are roots of the equation x^(2)+x+1=0 , then alpha^(2)+beta^(2) is equal to

If alpha and beta are the roots of the equation x^(2)+x+c=0 such that alpha+beta, alpha^(2)+beta^(2) and alpha^(3)+beta^(3) are in arithmetic progression, then c is equal to

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

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