olymmath

JBMO-SL 2005 A5

  • Answer

Solve the equation

8x3+8x2y+8xy2+8y3=15(x2+y2+xy+1)8 x^{3}+8 x^{2} y+8 x y^{2}+8 y^{3}=15\left(x^{2}+y^{2}+x y+1\right)

in the set of integers.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

(1,2), (2,1)

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

Locator jbmo-sl/2005/a5 · Tag 7HT46W91QY · Edit this page on GitHub · Keys: j next, k previous