\(\sqrt{\dfrac{3x-2}{x+1}}=3\)
\(\Rightarrow\left(\sqrt{\dfrac{3x-2}{x+1}}\right)^2=3^2\)
\(\Rightarrow\left|\dfrac{3x-2}{x+1}\right|=9\)
\(\Rightarrow\left\{{}\begin{matrix}\dfrac{3x-2}{x+1}=9\\\dfrac{3x-2}{x+1}=-9\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}3x-2=9x+9\\3x-2=-9x-9\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}3x-9x=9+2\\3x+9x=-9+2\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}-6x=11\\12x=-7\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-\dfrac{11}{6}\\x=-\dfrac{7}{12}\end{matrix}\right.\)
Chúc bạn học tốt!!!
\(\sqrt{\dfrac{3x-2}{x+1}}=3\\ \dfrac{\sqrt{3x-2}}{\sqrt{x+1}}=3\\ \sqrt{3x-2}=3\sqrt{x+1}\\ 3x-2=9x+9\\ -6x=11\\ x=-\dfrac{11}{6}\)
