HF RL Explorer

Task 781

Task 781: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. There exists a constant $k$ so that the minimum value of \ 4x^2 - 6kxy + (3k^2 + 2) y^2 - 4x - 4y + 6\ over all real numbers $x$ and $y$ is 0. Find $k.$

The task

There exists a constant $k$ so that the minimum value of \[4x^2 - 6kxy + (3k^2 + 2) y^2 - 4x - 4y + 6\]over all real numbers $x$ and $y$ is 0. Find $k.$