Question

||\(3x-\dfrac{7}{3}\)|\(-2\)|\(=7\)

Answer 1

Ta có: |\(\left|3x-\frac73\right|-2\) |=7

=>\(\left[\begin{array}{l}\left|3x-\frac73\right|-2=7\\ \left|3x-\frac73\right|-2=-7\end{array}\right.\Rightarrow\left[\begin{array}{l}\left|3x-\frac73\right|=9\\ \left|3x-\frac73\right|=-5\left(loại\right)\end{array}\right.\)

=>\(\left|3x-\frac73\right|=9\)

=>\(\left[\begin{array}{l}3x-\frac73=9\\ 3x-\frac73=-9\end{array}\right.\Rightarrow\left[\begin{array}{l}3x=9+\frac73=\frac{34}{3}\\ 3x=-9+\frac73=\frac{-20}{3}\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac{34}{9}\\ x=-\frac{20}{9}\end{array}\right.\)