Task 774
Task 774: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. The four complex roots of \ 2z^4 + 8iz^3 + (-9 + 9i)z^2 + (-18 - 2i)z + (3 - 12i) = 0,\ when plotted in the complex plane, form a rhombus. Find the area of the rhombus.
The task
The four complex roots of \[2z^4 + 8iz^3 + (-9 + 9i)z^2 + (-18 - 2i)z + (3 - 12i) = 0,\]when plotted in the complex plane, form a rhombus. Find the area of the rhombus.