If \( 1, \omega, \omega^{2} \) are the cube roots of unity, then th...

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If \( 1, \omega, \omega^{2} \) are the cube roots of unity, then the roots of the equation \( (x-1)^{3}+8=0 \) are
[AIEEE 2005, 3M]
(a) \( -1,1+2 \omega, 1+2 \omega^{2} \)
(b) \( -1,1-2 \omega, 1-2 \omega^{2} \)
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(c) \( -1,-1,-1 \)
(d) None of these
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