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MathNet 2020 — Math Olympiad Vault — Part 04 Question 115

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 04

Question 115

Find all triples of positive real numbers $(a, b, c)$ so that the expression
$$
M=\frac{(a+b)(b+c)(a+b+c)}{a b c}
$$
gets its least value.