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MATH / The roots of z⁶+z⁴+z²+1=0 are the vertices of a convex polygon in the complex plane. Find the sum of the squares of the side lengths of the polygon.

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problem

The roots of z6+z4+z2+1=0z^6+z^4+z^2+1=0 are the vertices of a convex polygon in the complex plane. Find the sum of the squares of the side lengths of the polygon.
Plain-text mathematical notation (without MathML)
The roots of z⁶+z⁴+z²+1=0 are the vertices of a convex polygon in the complex plane.  Find the sum of the squares of the side lengths of the polygon.
Original LaTeX notation
The roots of $z^6+z^4+z^2+1=0$ are the vertices of a convex polygon in the complex plane.  Find the sum of the squares of the side lengths of the polygon.

level

Level 4

type

Precalculus

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Source and history

task_id
ecaae206-6a29-5997-b299-b6e7099c5e50
task_key
precalculus--test--ecaae206-6a29-5997-b299-b6e7099c5e50
task_revision_id
1
config / split
precalculus / test

Official source

initial import