\(\left|x-2\right|=2\)
\(\Rightarrow x-2=2\) hoặc \(x-2=-2\)
TH1:\(x-2=2\)
\(x=2+2\)
\(x=4\)
TH2:\(x-1=-2\)
\(x=-2+2\)
\(x=0\)
Vậy: \(x=2\) hoặc \(x=4\)
\(\left|x-2\right|=2\)
\(\Rightarrow x-2=2\) hoặc \(x-2=-2\)
+) \(x-2=2\Rightarrow x=4\)
+) \(x-2=-2\Rightarrow x=0\)
Vậy \(x\in\left\{4;0\right\}\)
Theo bài ra ta có: \(\left|x-2\right|=2\)
=>\(\left[\begin{array}{nghiempt}x-2=2\\x-2=-2\end{array}\right.\)=>\(\left[\begin{array}{nghiempt}x=2+2\\x=-2+2\end{array}\right.\)=>\(\left[\begin{array}{nghiempt}x=4\\x=0\end{array}\right.\)
Vậy xϵ\(\left\{0;4\right\}\)