Question

\(\sqrt{x^2-6x+9}\) - 4 = 3x

( Giải Phương trình )

Answer 1

\(\sqrt{x^2-6x+9}-4=3x\left(đkxđ:x\ge-\dfrac{4}{3}\right)\\ \Leftrightarrow\sqrt{\left(x-3\right)^2}=3x+4\\ \Leftrightarrow\left|x-3\right|=3x+4\\ \Leftrightarrow\left[{}\begin{matrix}x-3=3x+4\\x-3=-3x-4\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x-3x=4+3\\x+3x=-4+3\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}-2x=7\\4x=-1\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{7}{2}\left(ktm\right)\\x=-\dfrac{1}{4}\left(tm\right)\end{matrix}\right.\)