olymmath

DE-MO 2009 Problem 1

    Find all non-negative real numbers aa such that the equation 1+x3+1−x3=a\sqrt[3]{1+x}+\sqrt[3]{1-x}=a has at least one real solution xx with 0≤x≤10 \leq x \leq 1 . For all such aa , what is xx ?

    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 de-mo/2009/p1 · Tag N3A4RE3PQG · Edit this page on GitHub · Keys: j next, k previous