HF RL Explorer

Task 802

Task 802: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Let $z$ be a complex number such that $ z - 5 - i = 5.$ Find the minimum value of \ z - 1 + 2i ^2 + z - 9 - 4i ^2.\

The task

Let $z$ be a complex number such that $|z - 5 - i| = 5.$ Find the minimum value of \[|z - 1 + 2i|^2 + |z - 9 - 4i|^2.\]