Let `alpha and beta` be the roots of `x^2 + x + 1 = 0`. If n be positive integer, then `alpha^n + beta^n` is

Let alphaandbeta be the roots of x^(2)+x+1=0 . If n be positive integer, then alpha^(n)+beta^(n) is

If alpha and beta are the roots of x^2 - 2x + 4 = 0 , Prove that alpha^n+beta^n = 2^(n+1) cos((npi)/3)

Let alpha and beta be the roots of the equation 5x^2 + 6x-2 =0 if S_(n ) = alpha ^(n) + beta^(n) , n= 1,2,3 ..,, then :

alpha and beta are the roots of x^2-x-1=0 and S_n=2023 alpha^n 2024 beta^n then

Let alpha,beta be the roots of x^(2)-2xcosphi+1=0 , then the equation whose roots are alpha^(n),beta^(n) is