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MATH / The equation z⁶+z³+1=0 has one complex root with argument θ between 90^(∘) and 180^(∘) in the complex plane. Determine θ, in degrees.

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problem

The equation z6+z3+1=0z^6+z^3+1=0 has one complex root with argument θ\theta between 90∘90^\circ and 180∘180^\circ in the complex plane. Determine θ,\theta, in degrees.
Plain-text mathematical notation (without MathML)
The equation z⁶+z³+1=0 has one complex root with argument θ between 90^(∘) and 180^(∘) in the complex plane. Determine θ, in degrees.
Original LaTeX notation
The equation $z^6+z^3+1=0$ has one complex root with argument $\theta$ between $90^\circ$ and $180^\circ$ in the complex plane. Determine $\theta,$ in degrees.

level

Level 2

type

Precalculus

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Source and history

task_id
df44ee3c-1ac8-5ca0-abf3-889f5b09b715
task_key
precalculus--test--df44ee3c-1ac8-5ca0-abf3-889f5b09b715
task_revision_id
1
config / split
precalculus / test

Official source

initial import