KZ-MO 2023 Problem 4

Given $x,y>0$ such that $x^2y^2+2x^3y=1$ . Find the minimum value of sum $x+y$

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.