Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 6.2 National olympiad Prove it

(2) ) Prove: For any positive real numbers $a, b, c$ , we have $\frac{a^{4}}{b c}+\frac{b^{4}}{c a}+\frac{c^{4}}{a b} \geqslant a^{2}+b^{2}+c^{2}$ . (2004 Hong Kong Mathematical Training Team Problem)

Solution

None

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