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# The system of equations

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The system of equations

\begin{align*} |z - 2 - 2i| &= \sqrt{23}, \\ |z - 8 - 5i| &= \sqrt{38} \end{align*}

has two solutions $$z_1$$ and $$z_2$$ in complex numbers. Find $$(z_1 + z_2)/2.$$.

Dec 12, 2020