Question 37
Determine all complex numbers $w$ such that
$$
10|w|^{2}=2|w+2|^{2}+\left|w^{2}+1\right|^{2}+20 .
$$
$$
10|w|^{2}=2|w+2|^{2}+\left|w^{2}+1\right|^{2}+20 .
$$
MathNet 2022-part-06 — 196 problems (EN–VI) Question 37
Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)