Răspuns :
Răspuns:
| x+2 |-5=3 ; | x+2 |-5=-3 ; }x+2|=8 ; x+2=8 ; x=6 ; x+2=-8 ; x=-10 ; |x+2|=2; x+2=2;x=0 ; x+2=-2 ; x=-4 ;12-8 =|x-4| ; x-4=4 ; x=8 ; x-4=-4 ; x=0
Explicație pas cu pas:
[tex]\Big||x+2|-5\Big| = 3 \\ \\ \Leftrightarrow \left[\begin{array}{lcl} |x+2|-5 = 3 \\\\ |x+2|-5 = -3\end{array}\right. \Leftrightarrow \left[\begin{array}{lcl} \left[\begin{array}{lcl}(x+2)-5 = 3\\-(x+2)-5 = 3 \end{array}\right.\\ \\ \left[\begin{array}{lcl}(x+2)-5 = -3\\-(x+2)-5 = -3 \end{array}\right.\end{array}\right.\Leftrightarrow[/tex]
[tex]\Leftrightarrow \left[\begin{array}{lcl} \left[\begin{array}{lcl}x=6\\x=-10\end{array}\right.\\ \\ \left[\begin{array}{lcl}x=0\\x = -4 \end{array}\end{array}\right| \Rightarrow x\in \{-10,-4,0,6\}[/tex]
Celălalt se rezolvă la fel.