Question

Let $α=8−14𝑖$, $𝐴=\\{z∈C:\frac {αz−\bar α\bar z}{z^2−(\bar z)^2−112i }=1\\}$ and $𝐵={𝑧∈C:|𝑧+3𝑖|=4}$. Then $∑_{𝑧∈𝐴∩𝐵 }(\text {𝑅𝑒}\ ⁡𝑧−\text {𝐼𝑚⁡}\ 𝑧)$ is equal to _____ .

Answer 1

The answer is 14.