Đáp án: $\left[\begin{array}{l}x=1\\x=0\\x=2\end{array}\right.$
Giải thích các bước giải:
$(x-1)^2=(x-1)^4\\\Leftrightarrow (x-1)^2-(x-1)^4=0\\\Leftrightarrow (x-1)^2(1-(x-1)^2)=0\\\Leftrightarrow \left[\begin{array}{l}x-1=0\\(x-1)^2=1\end{array}\right.\\\Leftrightarrow \left[\begin{array}{l}x=1\\x=0\\x=2\end{array}\right.$
