Question 56
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.
MathNet 2009-part-05 — 172 problems (EN–VI) Question 56
Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)