`" If "alpha,beta,gamma" are roots of the equation "x^(3)+x^(2)+2x-4=0," then value of "|[4-alpha,1,1],[1,4-beta,1],[1,1,4-gamma]|" (where "alpha" is real) "`

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

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

If alpha,beta,gamma be the roots of the equation x(1+x^(2))+x^(2)(6+x)+2=0 then the value of (1)/(alpha)+(1)/(beta)+(1)/(gamma)=

If alpha,beta,gamma are the roots of the equation x^(3)+2x+r=0 the equation whose roote are -alpha^(-1),-beta^(-1),-gamma^(-1) is

If alpha, beta, gamma are the roots of the equation x^(3) + ax^(2) + bx + c = 0, "then" alpha^(-1) + beta^(-1) + gamma^(-1)=

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 equation 3^(3)-2x^(2)+3x-5=0, then the value of (alpha-1)^(-1)+(beta-1)^(-1)+(gamma-1)^(-1) is equal to

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: