Concursul Matefbc editia a 2-a problema 5

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Andi Brojbeanu
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Concursul Matefbc editia a 2-a problema 5

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Fie \( a, b, c, d \) patru numere reale pozitive astfel incat \( a\leq b \leq c \leq d \) cu \( abcd=1 \). Atunci are loc inegalitatea:
\( (a+1)(d+1)\geq 3+\frac{3}{4d^3} \).
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Mateescu Constantin
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