Question

Giải phương trình:

\(\sqrt{9x^2-12x+4}\) - 3=5

Answer 1

\(PT\Leftrightarrow\left|3x-2\right|=8\Leftrightarrow\left[{}\begin{matrix}3x-2=8\\2-3x=8\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{10}{3}\\x=-2\end{matrix}\right.\)

Answer 2

\(\Leftrightarrow\sqrt{\left(3x-2\right)^2}=8\)

\(\Leftrightarrow\left|3x-2\right|=8\)

\(\Leftrightarrow\left[{}\begin{matrix}3x-2=8\\3x-2=-8\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{10}{3}\\x=-2\end{matrix}\right.\)