Question

Rezolvati in Q ecuatiile:
a) |3x-1|=8
b)4|x+2|=4

Answer 1

a.

$|3x-1|=8 ~\Longrightarrow ~3x-1=\pm~8~ \Longrightarrow~\left {{3x-1=8 ~\Longrightarrow~ 3x=9~\Longrightarrow ~x= \frac{9}{3} ~\Longrightarrow~\bold{x=3} } \atop {3x-1=-8~\Longrightarrow~ 3x=-7 \Longrightarrow\bold{x= -\frac{7}{3} }$


b.

[tex]4*|x+2|=4\\\\ |x+2|= \frac{4}{4} \\\\ |x+2|=1 \Longrightarrow~x+2=\pm~1 ~~~\Longrightarrow{{x+2=1~\Longrightarrow~x=1-2~\Longrightarrow~\bold{x=-1}} \atop {~~~x+2=-1~\Longrightarrow~x=-1-2~ \Longrightarrow~\bold{x=-3}} [/tex]