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AoPS Wiki:Problem of the Day/November 2, 2011

< AoPS Wiki:Problem of the Day
Revision as of 16:16, 2 November 2011 by Mrdavid445 (talk | contribs) (Created page with "==November 2== Suppose <math>a</math> is a complex number such that <math>a^{10} + a^5 + 1 = 0</math> Determine the value of <math>a^{2005}+\frac{1}{a^{2005}}</math>")
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November 2

Suppose $a$ is a complex number such that $a^{10} + a^5 + 1 = 0$


Determine the value of $a^{2005}+\frac{1}{a^{2005}}$

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