olymmath

TH-TMO 2017 Problem 9

    Determine all functions ff on the set of positive rational numbers such that f(xf(x)+f(y))=f(x)2+yf(xf(x) + f(y)) = f(x)^2 + y for all positive rational numbers x,yx, y .

    Dataset text AI-MO AoPS. 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

    Similar problems

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

    Locator th-tmo/2017/p9 · Tag F5JVFEQ3RE · Edit this page on GitHub · Keys: j next, k previous