If `alpha, beta` are the roots of `x^2-px+q`. Find the value of the following: `alpha/beta+beta/alpha`

If alpha, beta are the roots of x^2-px+q=0 then alpha^3+beta^3=….

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 2x^(2) + 5x - 4 = 0 then find the value of (alpha)/(beta) + (beta)/(alpha) .

If alpha,beta are the roots of x^(2)-px+q=0 then the equation whose roots are alpha beta+alpha+beta,alpha beta-alpha-beta

If alpha and beta are roots of x^2+px+2=0 and 1/alpha,1/beta are the roots of 2x^2+2qx+1=0 . Find the value of (alpha-1/alpha)(beta-1/beta)(alpha+1/beta)(beta+1/alpha)

If alpha and beta are roots of x^2+px+2=0 and 1/alpha,1/beta are the roots of 2x^2+2qx+1=0 . Find the value of (alpha-1/alpha)(beta-1/beta)(alpha+1/beta)(beta+1/alpha)1

If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value of the determine |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| is

If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' are the roots of x^(2) - p' x + q' = 0 , then the value of (alpha - alpha')^(2) + (beta -alpha')^(2) + (alpha - beta')^(2) + (beta - beta')^(2) is

If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' are the roots of x^(2) - p' x + q' = 0 , then the value of (alpha - alpha')^(2) + (beta + alpha')^(2) + (alpha - beta')^(2) + (beta - beta')^(2) is

If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' are the roots of x^(2) - p' x + q' = 0 , then the value of (alpha - alpha')^(2) + (beta + alpha')^(2) + (alpha - beta')^(2) + (beta - beta')^(2) is