PT⇔ \(\left(x-1\right)^2+1-2\left|x-1\right|\)\(=0\)
⇔\(\left|x-1\right|^2-2\left|x-1\right|+1=0\)⇔\(\left(\left|x-1\right|-1\right)^2=0\)
⇔\(\left|x-1\right|=1\)⇔\(\left[{}\begin{matrix}x-1=1\\x-1=-1\end{matrix}\right.\)⇔\(\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\)