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★ 7/10Quadratic Equations algebra AM-GM inequality

Problem

The inequality

(x - m)(x^2 - nx - 2) \geqslant 0

holds for all $x > 0$ . Find the minimum value of $m^2 + n^2$ .

Answer

Solution

Difficulty	7/10
Topics	Quadratic Equations, algebra, AM-GM, inequality

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