If `alpha` is root of equation `f(x)=0` then the value of `(alpha+ 1/alpha)^2+(alpha^2+ 1/alpha^2)^2+(alpha^3+1/alpha^3)+………+(alpha^6+ 1/alpha^6)^2` is (A) 18 (B) 54 (C) 6 (D) 12

If alpha be a root of equation x^2+x+1=0 then find the vlaue of (alpha+ 1/alpha)+(alpha^2+1/alpha^2)^2+(alpha^3+1/alpha^3)^2+…+(alpha^6+1/alpha^6)^2

If alpha is a root of x^(3)-x-1=0, compute the value of alpha^(10)+2 alpha^(8)-alpha^(7)-3 alpha^(6)-3 alpha^(5)+4 alpha^(4)+2 alpha^(3)-4 alpha^(2)-6 alpha

If alpha is a non-real fifth root of unity, then the value of 3^(|1+alpha+alpha^(2),alpha^(-2)-alpha^(-1)| , is

If alpha is a root of x^(4) + x^(2) - 1 = 0 , the value of (alpha^(6) + 2 alpha^(4))^(2012) is

If alpha is a root of the equation 4x^(2)+2x-1=0 then the other root is given by O -2 alpha-1 O 4 alpha^(2)+alpha-1 O 4 alpha^(3)-3 alpha O 4 alpha^(2)-3 alpha

If alpha and beta are the roots of the equation x^(2)-p(x+1)-q=0 then the value of (alpha^(2)+2 alpha+1)/(alpha^(2)+2 alpha+q)+(beta^(2)+2 beta+1)/(beta^(2)+2 beta+q) is (A)1(B)2 (C) 3(D)0

If alpha and beta are the roots of equation 6x^(2)+x-2=0 , find the value of (alpha)/(beta)+(beta)/(alpha) :

If alpha is a non-real cube root of -2 , then the value of |(1,2 alpha,1),(alpha^(2),1,3 alpha^(2)),(2,2 alpha,1)| , is

If alpha and beta be the roots of the equation x^(2)+3x+1=0 then the value of ((alpha)/(1+beta))^(2)+((beta)/(alpha+1))^(2)

If alpha is an imaginary roots of x^(5)-1=0, then the equation whose roots are alpha+alpha^(4) and alpha^(2)+alpha^(3) is