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Question-208880




Question Number 208880 by efronzo1 last updated on 26/Jun/24
Answered by Frix last updated on 26/Jun/24
a, b, c >0 ⇒ ((a+(2)^(1/3) +(4)^(1/3) ))^(1/3) +(b)^(1/3) +(c)^(1/3) >0  The question has no solution.
$${a},\:{b},\:{c}\:>\mathrm{0}\:\Rightarrow\:\sqrt[{\mathrm{3}}]{{a}+\sqrt[{\mathrm{3}}]{\mathrm{2}}+\sqrt[{\mathrm{3}}]{\mathrm{4}}}+\sqrt[{\mathrm{3}}]{{b}}+\sqrt[{\mathrm{3}}]{{c}}>\mathrm{0} \\ $$$$\mathrm{The}\:\mathrm{question}\:\mathrm{has}\:\mathrm{no}\:\mathrm{solution}. \\ $$

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