If \alpha and \beta are the roots of the equation x^2-x+1=0, then \alpha^{2009}+\beta^{2009}= [AIEEE 2010]

AIEEE 2010 Solved Paper

Section: Mathematics

Question : 63 of 89

Marks: +1, -0

If α and β are the roots of the equation x2−x+1=0, then α2009+β2009=

[AIEEE 2010]

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