Chứng minh BĐT

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chaizo1234567

Bài làm

$VT=\frac{x + y + z}{y+z}+\frac{4(x + y + z)}{x+z}+\frac{9(x + y + z)}{x+y}-14$
\Leftrightarrow$VT=(x+y+z)(\frac{1}{y+z}+\frac{4}{z+x}+\frac{9}{x+y})-14$
\RightarrowVT\geq$(x+y+z)(\frac{36}{2x+2y+2z})-14$
\RightarrowVT\geq4...........
 
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