Let `alpha,beta` in R and `(alpha-beta i )/(1+2i) =(-6-8i )/(5)`. The value of `(alpha+beta)` is

If for one quadratic equation alpha + beta =5 " and " alpha beta =6 , then find value of alpha^2 + beta^2

For one quadratic equation alpha^2 + beta^2 =13 " and " alpha beta =6 , then find value of alpha / beta + beta / alpha

Let alpha, beta be such that it pi < alpha - beta <3 pi . if sin alpha + sin beta =-21/65 and cos alpha+cos beta = -27 / 65 then the value of cos ((alpha-beta)/2) is

If alpha^(2)=5 alpha-3 beta^(2)=5 beta-3 then the value of (alpha)/(beta)+(beta)/(alpha) is

If alpha,beta in R are such that 1-2i (here i^(2)=-1 ) is a root of z^(2)+alpha z+beta=0 , then (alpha-beta) is equal to:

If for the matrix , A = [(1,-alpha),(alpha, beta)], A A^T = I_2 , then the value of alpha^4 + beta^4 is: