Tìm GTNN

M

minhhieupy2000

$M=\dfrac{5}{x}+\dfrac1{5y}=\dfrac1{5x}+\dfrac{1}{5y}+\dfrac{24}{5x} \ge 2.\dfrac1{5\sqrt{xy}}+\dfrac{24}{5x} \ge \dfrac{2.2}{5(x+y)} + \dfrac{24}{5x}= \dfrac{26}{3}$
Dấu = xảy ra \Leftrightarrow $x=y=0.6$
 
H

huynhbachkhoa23

Sai rồi kìa bác :)|

$A=\dfrac{25}{5x}+\dfrac{1}{5y} \ge \dfrac{36}{5(x+y)}=6$

$\text{min A}=6 \leftrightarrow x=1; y=\dfrac{1}{5}$
 
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