olymmath

CMO 2003 Problem 3

  • Paper

Find all real positive solutions (if any) to

x3+y3+z3=x+y+z, and x2+y2+z2=xyz.\begin{gathered} x^{3}+y^{3}+z^{3}=x+y+z, \text { and } \\ x^{2}+y^{2}+z^{2}=x y z . \end{gathered}

Dataset text NuminaMath olympiads. Quoted with source.

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 ca-cmo/2003/p3 · Tag PANQXHJ680 · Edit this page on GitHub · Keys: j next, k previous