Question Number 173072 by Shrinava last updated on 06/Jul/22
$$\mathrm{Solve}\:\mathrm{for}\:\mathrm{complex}\:\mathrm{numbers}: \\ $$$$\begin{cases}{\frac{\mid\mathrm{x}\mid^{\mathrm{2}} }{\mathrm{3}}\:\:+\:\:\frac{\mid\mathrm{y}\mid^{\mathrm{2}} }{\mathrm{5}}\:\:=\:\:\frac{\mid\mathrm{x}\:+\:\mathrm{y}\mid^{\mathrm{2}} }{\mathrm{8}}}\\{\mathrm{10x}\:\:+\:\:\mathrm{y}\:\:=\:\:\mathrm{7}\:\:+\:\:\mathrm{14}\boldsymbol{\mathrm{i}}}\end{cases} \\ $$