olymmath

NZ-NZMO 2022 Problem 3

  • Answer

Find all real numbers xx and yy such that

x2+y2=2,2−y+y22−x=2.\frac{x^{2} + y^{2} = 2,}{2 - y} +\frac{y^{2}}{2 - x} = 2.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

x = y = 1

Solutions

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

Add a solution

Locator nz-nzmo/2022/p3 · Tag 5CWTPN47SK · Edit this page on GitHub · Keys: j next, k previous