If `z^2+alphaz+beta` has one root `1-2i` , then find the value of `alpha-beta (alpha,beta , in R)`

If alpha,beta are the roots of 2x^(2)+x+7=0 find the value of alpha^(2)beta+alpha beta^(2)

If alpha and beta are zeroes of the polynomial 3x^(2)+6x+1 , then find the value of alpha+beta+alpha beta .

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

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

If alpha, beta are zeroes of polynomial 6x^(2) +x-1 , then find the value of (i) alpha^(3) beta + alpha beta^(3) , (ii) alpha/beta + beta/alpha +2(1/alpha + 1/beta) + 3 alpha beta

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

If alpha, beta are the roots of the equation 2x^2+5x+3=0 , then find the value of beta/alpha + alpha/beta .

If alpha and beta are roots of ax^(2) + bx + c = 0 , then find the value of a((alpha^(2) + beta^(2))/(beta alpha)) + b((alpha)/(beta) + (beta)/(alpha))