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Chứng minh rằng: $\dfrac{a^{16}+a^{12}+7a^8+12a^4+12}{a^{12}+7a^8+7a^4+12} < \sqrt[3]{4}$


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Oral1020

Oral1020

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Cho số thực $a$ thỏa mãn $a^5-a^3+a-2=0$
Chứng minh rằng:


$\dfrac{a^{16}+a^{12}+7a^8+12a^4+12}{a^{12}+7a^8+7a^4+12} < \sqrt[3]{4}$

"If I feel unhappy,I do mathematics to become happy.


If I feel happy,I do mathematics to keep happy."

Alfréd Rényi

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