IMO 1963 Problem 4

Day 2

Find all solutions $x_1, x_2, x_3, x_4, x_5$ of the system $x_5+x_2=yx_1$ $x_1+x_3=yx_2$ $x_2+x_4=yx_3$ $x_3+x_5=yx_4$ $x_4+x_1=yx_5$ where $y$ is a parameter.

Official text Transcription from AI-MO AoPS, checked word for word against the official paper. Quoted with source.

Official text: IMO 1963 official English paper, page 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 imo/1963/p4 · Tag TBQXQW92Q6 · Edit this page on GitHub · Keys: j next, k previous