Question 98
Find all pairs of complex numbers $z$ and $w$ that solve the system of equations
$$
\begin{aligned}
w^{2} & =63+16 i \\
2 z-i|z| & =w
\end{aligned}
$$
$$
\begin{aligned}
w^{2} & =63+16 i \\
2 z-i|z| & =w
\end{aligned}
$$
MathNet 2006 — Part 04 Question 98
Math Olympiad Vault · MathNet 2006 — Part 04