Question

Sa se rezolve ecuatiile:
1) |-x+2|=1
2) |-3x+4|=2
Multumesc! Va rog urgent!

Answer 1

$1) |-x+2|=1$
$Cazul.1$
$-x+2=1=\ \textgreater \ -x=1-2=\ \textgreater \ -x=-1|(-1)=\ \textgreater \ x=1$
$Cazul.2$
$-x+2=-1=\ \textgreater \ -x=-1-2=\ \textgreater \ -x=-3|(-1)=\ \textgreater \ x=3$

$2) |-3x+4|=2$
$Cazul.1$
$-3x+4=2=\ \textgreater \ -3x=2-4=\ \textgreater \ -3x=-2=\ \textgreater \ x= \frac{-2}{-3} =\ \textgreater \ x= \frac{2}{3}$
$Cazul.2$
$-3x+4=-2=\ \textgreater \ -3x=-2-4=\ \textgreater \ -3x=-6=\ \textgreater \ x= \frac{-6}{-3} =\ \textgreater \ x=2$