Question

[Nguyễn Thị Thu Ngân]

Giúp em câu 2 vs ạaaa
 

Answer 1

[Akai Haruma]

Lời giải:
a. 

\(M=\frac{x}{\sqrt{x}(\sqrt{x}-1)}-\frac{2\sqrt{x}-1}{\sqrt{x}(\sqrt{x}-1)}=\frac{x-(2\sqrt{x}-1)}{\sqrt{x}(\sqrt{x}-1)}\\ =\frac{x-2\sqrt{x}+1}{\sqrt{x}(\sqrt{x}-1)}=\frac{(\sqrt{x}-1)^2}{\sqrt{x}(\sqrt{x}-1)}\\ =\frac{\sqrt{x}-1}{\sqrt{x}}\)

b.

$M=-2\Leftrightarrow \frac{\sqrt{x}-1}{\sqrt{x}}=-2$

$\Leftrightarrow \sqrt{x}-1=-2\sqrt{x}$

$\Leftrightarrow 3\sqrt{x}=1\Leftrightarrow x=\frac{1}{9}$ (tm)