Question 153
Complex number $\omega$ satisfies $\omega^{5}=2$. Find the sum of all possible values of
$$
\omega^{4}+\omega^{3}+\omega^{2}+\omega+1
$$
$$
\omega^{4}+\omega^{3}+\omega^{2}+\omega+1
$$
MathNet 2016-part-07 — 182 problems (EN–VI) Question 153
Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)