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a fost răspuns

Sa se rezolve ecuatiile:
1) |-x+2|=1
2) |-3x+4|=2
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Răspuns :

[tex]1) |-x+2|=1[/tex]
[tex]Cazul.1[/tex]
[tex]-x+2=1=\ \textgreater \ -x=1-2=\ \textgreater \ -x=-1|(-1)=\ \textgreater \ x=1[/tex]
[tex]Cazul.2[/tex]
[tex]-x+2=-1=\ \textgreater \ -x=-1-2=\ \textgreater \ -x=-3|(-1)=\ \textgreater \ x=3[/tex]

[tex]2) |-3x+4|=2[/tex]
[tex]Cazul.1[/tex]
[tex]-3x+4=2=\ \textgreater \ -3x=2-4=\ \textgreater \ -3x=-2=\ \textgreater \ x= \frac{-2}{-3} =\ \textgreater \ x= \frac{2}{3} [/tex]
[tex]Cazul.2[/tex]
[tex]-3x+4=-2=\ \textgreater \ -3x=-2-4=\ \textgreater \ -3x=-6=\ \textgreater \ x= \frac{-6}{-3} =\ \textgreater \ x=2[/tex]