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Complex number sixth degree equation modulus argument

1800SpecialistPolynomialsComplex Numbers

Croatia_2018 · 2018

Let $z$ be a complex number such that $\arg z \in [\frac{\pi}{2}, \pi]$ and $z^6 + z^3 + 1 = 0$. Determine the modulus and the argument of $z$. The argument of the complex number $z = |z|(\cos\varphi + i\sin\varphi)$ is the number $\arg z = \varphi$.
0 students attempted0% solvedRating 1800

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