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Mathematics
Mathematics
Problem
If
α
\alpha
α
and
β
\beta
β
are the roots of the equation
x
2
−
x
+
1
=
0
x^2 - x + 1 = 0
x
2
−
x
+
1
=
0
, what is
α
2009
+
β
2009
\alpha^{2009} + \beta^{2009}
α
2009
+
β
2009
? a.
−
1
-1
−
1
b.
1
1
1
c.
2
2
2
d.
−
2
-2
−
2
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