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CMR: $(\sum \frac{1}{x})^{2}+\sqrt{3}\leq \sum \frac{y}{x^{2}}+3$


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Ngoc Hung

Ngoc Hung

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Cho x, y, z > 0 thỏa mãn $\frac{1}{xy}+\frac{1}{yz}+\frac{1}{zx}=1$.

CMR: $\left ( \frac{1}{x}+\frac{1}{y}+\frac{1}{z} \right )^{2}+\sqrt{3}\leq \frac{y}{x^{2}}+\frac{z}{y^{2}}+\frac{x}{z^{2}}+3$

 

 


Edited by Ngoc Hung, 06-11-2023 - 09:05.





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