AT-OEMO-FED1 2003 Problem 2

Find the greatest and smallest value of $f(x, y) = y-2x$ , if x, y are distinct non-negative real numbers with $\frac{x^2+y^2}{x+y}\leq 4$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.