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.
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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