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 \( x^{2}-x+1=0 \), then \( \alpha^{2009}+\beta^{2009} \) is equal to
(1) \( -2 \)
(2) \( -1 \)
(3) 1
(4) 2
\( \mathrm{P} \)
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