If 1, omega, omega^(2) are the three cub...

If `1, omega, omega^(2)` are the three cube roots of unity and `alpha, beta, gamma` are the cube roots of `p, plt0`, then for any x, y, z the expression `(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=`

A

`(1)/(2)(-1-isqrt(3)),i=sqrt(-1)`

B

`(1)/(2)(1+isqrt(3)),i=sqrt(-1)`

C

`(1)/(2)(1-isqrt(3)),i=sqrt(-1)`

D

none of these

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