olymmath

RMO 2015 M7

  • Mumbai Region

Let x,y,zx,y,z be real numbers such that x2+y2+z2−2xyz=1x^2+y^2+z^2-2xyz=1 . Prove that (1+x)(1+y)(1+z)≤4+4xyz.(1+x)(1+y)(1+z)\le 4+4xyz.

Dataset text AI-MO AoPS. Quoted with source.

Official text: Indian Regional Mathematical Olympiad 2015 official 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

Similar problems

These problems have the most words in common with this statement.

Locator in-rmo/2015/m7 · Tag 6ZC2TXYR1J · Edit this page on GitHub · Keys: j next, k previous