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 roots of the equation x^(2) + 2x + 8 = 0 the the value of (alpha)/(beta) + (beta)/(alpha) is ………….. .

If alpha and beta are the roots of the equation x^2 + 2x +8=0 then the value of (alpha)/(beta) + (beta)/(alpha) is ………………….. .

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 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 ______.

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 ______.