IrMO 2016 Problem 3
- Paper 1
Do there exist four polynomials with real coefficients, such that the sum of any three of them always has a real root, but the sum of any two of them has no real root?
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.
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