bpt hay

N

nttthn_97

ĐK: $x$[TEX]\geq[/TEX]1

[TEX]\Leftrightarrow[/TEX]$\sqrt{x-\frac{1}{x}}$[TEX]\geq[/TEX]$x-\sqrt{1-\frac{1}{x}}$

2 vế đều dương, bình phương

[TEX]\Leftrightarrow[/TEX]$x-\frac{1}{x}$[TEX]\geq[/TEX]$x^2+1-\frac{1}{x}-2\sqrt{x^2-x}$

[TEX]\Leftrightarrow[/TEX]$(\sqrt{x^2-x}-1)^2$[TEX]\leq[/TEX]0
 
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