$\frac{x}{y} + 2\sqrt{1+\frac{y}{z}} + 3\sqrt[3]{1+\frac{z}{x}}$
2/ Cho 0 < a,b,c < 1, x,y,z > 0, $a^x=bc, b^y=ca, c^z=ab$, cm:
$\frac{1}{x+2} + \frac{1}{y+2} + \frac{1}{z+2} \leq \frac{3}{4}$
Edited by zBooBz, 04-09-2013 - 23:26.
$\frac{x}{y} + 2\sqrt{1+\frac{y}{z}} + 3\sqrt[3]{1+\frac{z}{x}}$
Started By zBooBz, 04-09-2013 - 23:24
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Posted 04-09-2013 - 23:24
zBooBz
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Binh nhất
1/ Cho x,y,z thuộc R, $x \geq y, x \geq z$, cm:
$\frac{x}{y} + 2\sqrt{1+\frac{y}{z}} + 3\sqrt[3]{1+\frac{z}{x}}$
2/ Cho 0 < a,b,c < 1, x,y,z > 0, $a^x=bc, b^y=ca, c^z=ab$, cm:
$\frac{1}{x+2} + \frac{1}{y+2} + \frac{1}{z+2} \leq \frac{3}{4}$
$\frac{x}{y} + 2\sqrt{1+\frac{y}{z}} + 3\sqrt[3]{1+\frac{z}{x}}$
2/ Cho 0 < a,b,c < 1, x,y,z > 0, $a^x=bc, b^y=ca, c^z=ab$, cm:
$\frac{1}{x+2} + \frac{1}{y+2} + \frac{1}{z+2} \leq \frac{3}{4}$
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