Question

∣9x+2∣=7 решите уравнение

Answer 1

$|9x + 2| = 7 \\ 9x + 2 = 7 \\ 9x + 2 = - 7 \\ x = \frac{5}{9} \\ x = - 1$

Answer 2

$\displaystyle |9x+2|=7\\\\\left[\begin{array}{ccc}9x+2=7\\9x+2=-7\end{array}\right\;\Longrightarrow\;\;\;\left[\begin{array}{ccc}9x=5\\9x=-9\end{array}\right\;\Longrightarrow\;\;\;\left[\begin{array}{ccc}x=\dfrac59\\\\x=-1\end{array}\right$

Ответ: $x_1=\dfrac59;\;x_2=-1$