Find the largest possible value of the expression \( y - x \), if the non-negative real numbers \( x, y \) satisfy the equation: \[ x^4 = y(y - 2025)^3. \] Proposed by Mykhailo Shtandenko, Anton Trygub
Source: Kyiv City MO 2025 Round 2, Problem 9.1
Tags: algebra
Find the largest possible value of the expression \( y - x \), if the non-negative real numbers \( x, y \) satisfy the equation: \[ x^4 = y(y - 2025)^3. \] Proposed by Mykhailo Shtandenko, Anton Trygub