Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 5.9 AIME, harder Prove it

Example 2 Given $x>0, y>0, 2x+y=1$ , prove that
$\frac{1}{x}+\frac{1}{y} \geqslant 3+2 \sqrt{2} \text{. }$

Solution

None

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None

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