Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 5.4 AIME, harder Prove it Philippines

Problem:

Let $x$ and $y$ be positive real numbers such that $x + 2y = 8$ . Determine the minimum value of
$x + y + \frac{3}{x} + \frac{9}{2y}$

Solution

Solution:

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