Question

Mng ơi giúp mk ạ!

|x-1/3|=|2-3x| ( gạch chéo là dấu phân số ah) Thanks mng ❤️

Answer 1

\(\left|x-\frac{1}{3}\right|=\left|2-3x\right|\)

\(\Leftrightarrow\left[{}\begin{matrix}x-\frac{1}{3}=2-3x\\x-\frac{1}{3}=3x-2\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}4x=\frac{7}{3}\\2x=-\frac{5}{3}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{7}{12}\\x=-\frac{5}{6}\end{matrix}\right.\)

Vậy : \(x\in\left\{\frac{7}{12},-\frac{5}{6}\right\}\)

@Akai Haruma cô xem hộ em có thiếu TH không ạ ?

Answer 2

\(\left|x-\frac{1}{3}\right|=\left|2-3x\right|\)

=> \(\left[{}\begin{matrix}x-\frac{1}{3}=2-3x\\x-\frac{1}{3}=3x-2\end{matrix}\right.\) => \(\left[{}\begin{matrix}x+3x=2+\frac{1}{3}\\3x-x=\left(-2\right)+\frac{1}{3}\end{matrix}\right.\) => \(\left[{}\begin{matrix}4x=\frac{7}{3}\\2x=-\frac{5}{3}\end{matrix}\right.\)

=> \(\left[{}\begin{matrix}x=\frac{7}{3}:4\\x=\left(-\frac{5}{3}\right):2\end{matrix}\right.\) => \(\left[{}\begin{matrix}x=\frac{7}{12}\\x=-\frac{5}{6}\end{matrix}\right.\)

Vậy \(x\in\left\{\frac{7}{12};-\frac{5}{6}\right\}.\)

Chúc bạn học tốt!