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MathNet 2016-part-05 — 184 problems (EN–VI) Question 60

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 60

Determine all pairs of real numbers $a$ and $b$ that satisfy the inequality
$$
a^{2}(2a-b) + b^{2}(2b-a) \geq 0
$$