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8
Complex Roots
Complex Roots
Source:
December 19, 2005
trigonometry
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Problem Statement
The equation
z
6
+
z
3
+
1
z^6 + z^3 + 1
z
6
+
z
3
+
1
has one complex root with argument
θ
\theta
θ
between
9
0
∘
90^\circ
9
0
∘
and
18
0
∘
180^\circ
18
0
∘
in the complex plane. Determine the degree measure of
θ
\theta
θ
.
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