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7
Math Prize 2011 Problem 7
Math Prize 2011 Problem 7
Source:
September 19, 2011
quadratics
trigonometry
LaTeX
geometry
3D geometry
algebra
Problem Statement
If
z
z
z
is a complex number such that
z
+
z
−
1
=
3
,
z + z^{-1} = \sqrt{3},
z
+
z
−
1
=
3
,
what is the value of
z
2010
+
z
−
2010
?
z^{2010} + z^{-2010} \, ?
z
2010
+
z
−
2010
?
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