If `alpha and beta ` are roots of the equation `x^2-6x +12=0,` then the value of `| root 12 ((alpha-2)^24-(beta-6)^8/alpha^8+1|` is equal to ,(where`|p+i q|=sqrt(p^2+q^2))`

If alpha and beta are roots of the equation x^(2)-6x+12=0, then the value of |_(12)^(12)[(alpha-2)^(24)-((beta-6)^(8))/(alpha^(8))+1| is equal to ( where |p+iq|=sqrt(p^(2)+q^(2)))

If alpha and beta are the roots of the equation 2x^2+3x-6 then find the value of alpha^2+beta^2

If alpha and beta are the roots of the quadratic equation x^(2)-6x+1=0, then the value of (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2)) is

If alpha and beta are roots of the equation x^2 – x-1 = 0 , then the equation where roots are alpha/beta and beta/alpha is:

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

If alphaandbeta are the roots of the equation x^(2)-6x+12=0 and the value of (alpha-2)^(24)-((beta-6)^(8))/(alpha^(8))+1 is 4^(a) , then the value of a is ______.