JBMO-SL 2010 A3

Find all pairs $(x, y)$ of real numbers such that $|x|+|y|=1340$ and $x^{3}+y^{3}+2010 x y=670^{3}$ .

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

(-670, -670), (1005, -335), (-335, 1005)

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Locator jbmo-sl/2010/a3 · Tag 8S5GJANQ28 · Edit this page on GitHub · Keys: j next, k previous