HF RL Explorer

Task 935

Task 935: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Let $a,b,$ and $c$ be real numbers such that \ a + b + c = 2\ and \ a^2+b^2+c^2=12.\ What is the difference between the maximum and minimum possible values of $c$?

The task

Let $a,b,$ and $c$ be real numbers such that \[a + b + c = 2\]and \[a^2+b^2+c^2=12.\]What is the difference between the maximum and minimum possible values of $c$?