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