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if it is true that 3x^2 + y^2 >= -ax(x + y), find a

Source: Norwegian Mathematical Olympiad 2013 - Abel Competition p1a

September 4, 2019
inequalitiesalgebra

Problem Statement

Find all real numbers aa such that the inequality 3x2+y2≥−ax(x+y)3x^2 + y^2 \ge -ax(x + y) holds for all real numbers xx and yy.
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