Quadratic EquationHard
Question
If α and β are the roots of the equation x2 - x + 1 = 0, then α2009 + β2009 =
Options
A.- 1
B.1
C.2
D.- 2
Solution
x2 – x + 1 = 0 ⇒ x = 
⇒ α2009 + β2009 = 2 cos 2009
⇒
⇒
⇒ α2009 + β2009 = 2 cos 2009
⇒
⇒
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