Argument of complex root of z^6+z^3+1

1925SpecialistPolynomialsComplex Numbers

AIME · 1984 · Problem 8

The equation $z^6+z^3+1=0$ has complex roots with argument $\theta$ between $90^\circ$ and $180^\circ$ in the complex plane. Determine the degree measure of $\theta$.

0 students attempted0% solvedRating 1925

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Argument of complex root of z^6+z^3+1

1925SpecialistPolynomialsComplex Numbers

AIME · 1984 · Problem 8

The equation $z^6+z^3+1=0$ has complex roots with argument $\theta$ between $90^\circ$ and $180^\circ$ in the complex plane. Determine the degree measure of $\theta$.

0 students attempted0% solvedRating 1925