Difference between revisions of "1984 AIME Problems/Problem 8"

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== Problem ==
 
== Problem ==
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The equation <math>\displaystyle z^6+z^3+1</math> has complex roots with argument <math>\theta</math> between <math>90^\circ</math> and <math>180^\circ</math> in thet complex plane. Determine the degree measure of <math>\theta</math>.
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== Solution ==
 
== Solution ==
 
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Revision as of 00:13, 21 January 2007

Problem

The equation $\displaystyle z^6+z^3+1$ has complex roots with argument $\theta$ between $90^\circ$ and $180^\circ$ in thet complex plane. Determine the degree measure of $\theta$.

Solution

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See also

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