Question Number 171810 by Shrinava last updated on 21/Jun/22
$$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}: \\ $$$$\mathrm{x}^{\mathrm{32}} \:\:+\:\:\mathrm{x}^{\mathrm{16}} \:\:+\:\:\mathrm{y}^{\mathrm{2}} \:\:=\:\:\mathrm{2}\sqrt{\mathrm{2}}\:\:\mathrm{x}^{\mathrm{12}} \:\mathrm{y} \\ $$