\(x^2-x+2-2\sqrt{x^2-x+1}=0\) (Đk: x ∈ R)
↔ \(x^2-x+1-2\sqrt{x^2-x+1}+1=0\)
↔ \(\left(\sqrt{x^2-x+1}-1\right)^2=0 \)
↔ \(\sqrt{x^2-x+1}=1\)
↔ \(x^2-x+1=1\)
↔ \(x^2-x=0\)
↔ \(x\left(x-1\right)=0\)
↔\(\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)