If \( \alpha \) and \( \beta \) are the roots of the equation \( x^...

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If \( \alpha \) and \( \beta \) are the roots of the equation \( x^{2}-x+1=0 \), \( \alpha^{2009}+\beta^{2009} \) is equal to
\( \mathrm{P} \)
[AIEEE 2010, 4M]
(a) -1
(b) 1
W
(c) 2
(d) -2
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