If alpha and beta are the distinct roots...

If `alpha and beta` are the distinct roots of the equation `x^(2) + (3)^(1//4) x + 3^(1//2) = 0`, then the value of `alpha^(96)(alpha^(12)-1)+beta^(96)(beta^(12)-1))` is equal to :

A

`52 xx 3^(24)`

B

`56 xx 3^(25)`

C

`28 xx 3^(25)`

D

`56 xx 3^(24)`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation 3x^(2)+8x+2=0 then ((1)/(alpha)+(1)/(beta))=?

If alpha and beta are the roots of the equation 4x^(2)+3x+7=0, then (1)/(alpha)+(1)/(beta)=

If alpha and beta are the roots of the equation, 7x^2 -3x -2 = 0 , then the value of (alpha )/(1 - alpha^2) + (beta)/(1 + beta^2) is equal to :

If alpha,beta " are the roots of the equation "x^(2) - 2x - 1 =0, "then what is the value of " alpha^(2)beta^(-2)+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 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