Question

Giúp mik câu c bài 1 vs

Answer 1

Câu 23:

a: Ta có: \(\dfrac{\sqrt{x}+2}{\sqrt{x}-3}-\dfrac{5\sqrt{x}}{\sqrt{x}+3}=\dfrac{22}{x-9}\)

Suy ra: \(x+5\sqrt{x}+6-5x+15\sqrt{x}-22=0\)

\(\Leftrightarrow-4x+20\sqrt{x}-16=0\)

\(\Leftrightarrow x-5\sqrt{x}+4=0\)

\(\Leftrightarrow\left(\sqrt{x}-1\right)\left(\sqrt{x}-4\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=1\left(nhận\right)\\x=16\left(nhận\right)\end{matrix}\right.\)