\(ĐK:x\ge1\\ PT\Leftrightarrow\left(x-1-2\sqrt{x-1}+1\right)+\sqrt{x+2}=0\\ \Leftrightarrow\left(\sqrt{x-1}-1\right)^2+\sqrt{x+2}=0\\ \Leftrightarrow\left\{{}\begin{matrix}\sqrt{x-1}-1=0\\\sqrt{x+2}=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-1=1\\x+2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\\ \Leftrightarrow x\in\varnothing\)
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