MathDB
System of equations: easy

Source: Kyiv City MO 2024 Round 2, Problem 9.1

February 4, 2024
algebrasystem of equations

Problem Statement

Solve the following system of equations in real numbers: {x2=y2+z2,x2023=y2023+z2023,x2025=y2025+z2025.\left\{\begin{array}{l}x^2=y^2+z^2,\\x^{2023}=y^{2023}+z^{2023},\\x^{2025}=y^{2025}+z^{2025}.\end{array}\right. Proposed by Mykhailo Shtandenko, Anton Trygub
Back to ProblemsView on AoPS