MathDB
All real solutions satisfy inequality

Source: Baltic Way 2003

November 5, 2010
inequalitiesquadraticsalgebranumber theory unsolvednumber theory

Problem Statement

Prove that any real solution of x3+px+q=0x^3+px+q=0, where p,qp,q are real numbers, satisfies the inequality 4qx≤p24qx\le p^2.
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