2, \Leftrightarrow \left ( \sqrt{1+\frac{1}{x}}+\frac{1}{x} \right )\left ( 1-\frac{1}{x} +\sqrt{1+\left ( 1-\frac{1}{x} \right )x^{2}}\right )=0\Leftrightarrow 1-\frac{1}{x} +\sqrt{1+\left ( 1-\frac{1}{x} \right )x^{2}}=\sqrt{1+\frac{1}{x}}-\frac{1}{x}xét hàm f\left ( t \right )=t+\sqrt{1+t^{2}}suy ra : 1-\frac{1}{x}=-\frac{1}{x}bạn tự giải tiếp nhé
2, $\left ( \sqrt{1+\frac{1}{x}}+\frac{1}{\sqrt{x}} \right )\left ( \sqrt{1-\left ( 1-\frac{1}{x} \right )^2}+1-\frac{1}{x} \right )=0$$\Leftrightarrow \sqrt{1-\left ( 1-\frac{1}{x} \right )^{2}}+1-\frac{1}{x}=\sqrt{1+\frac{1}{x}}+\frac{1}{\sqrt{x}}$xét hàm $f\left ( t \right )=t+\sqrt{1+t^{2}}$suy ra : $1-\frac{1}{x}=-\frac{1}{x}$bạn tự giải tiếp nhé