TR-MO-R1 2012 Problem 11

$x^3 + 2 = 3y,\ y^3 + 2 = 3z,\ z^3 + 2 = 3w,\ w^3 + 2 = 3x$ eşitliklerini sağlayan kaç $(x, y, z, w)$ gerçel sayı dörtlüsü vardır?

a) $8$ b) $5$ c) $3$ d) $1$ e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2012 official paper, page 4. Quoted with source.

A model read this text from the scan of the paper by OCR, with vision/claude@2.1.318 (claude-opus-5-5). No person has checked it against the paper yet.

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

Solutions

Similar problems