olymmath

DK-GEORGMOHR 2004 Problem 4

    Find all sets x,y,zx,y,z of real numbers that satisfy {x3−y2=z2−xy3−z2=x2−yz3−x2=y2−z\begin{cases} x^3 - y^2 = z^2 - x y^3 -z^2 =x^2 -y z^3 -x^2 = y^2 -z \end{cases}

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Georg Mohr Contest 2004 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 dk-georgmohr/2004/p4 · Tag A53KAS8D04 · Edit this page on GitHub · Keys: j next, k previous