Question

Answer 1

Rút gọn: \(\left\{{}\begin{matrix}A=\dfrac{1-\sqrt{x}}{\sqrt{x}\left(\sqrt{x}+2\right)}\\B=\dfrac{1-\sqrt{x}}{\left(\sqrt{x}+2\right)^2}\end{matrix}\right.\)

b) \(P=\dfrac{A}{B}=\dfrac{1-\sqrt{x}}{\sqrt{x}\left(\sqrt{x}+2\right)}.\dfrac{\left(\sqrt{x}+2\right)^2}{1-\sqrt{x}}=\dfrac{\sqrt{x}+2}{\sqrt{x}}\)

c) \(P=\dfrac{\sqrt{x}+2}{\sqrt{x}}>2\Leftrightarrow\sqrt{x}+2>2\sqrt{x}\)

\(\Leftrightarrow\sqrt{x}< 2\Leftrightarrow0< x< 4,x\ne1\)