\(\Leftrightarrow\left\{{}\begin{matrix}x\ge1\\-2x^2+6=x^2-2x+1\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\ge1\\3x^2-2x-5=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\ge1\\\left[{}\begin{matrix}x=-1\left(loại\right)\\x=\dfrac{5}{3}\end{matrix}\right.\end{matrix}\right.\)
\(\sqrt{-2x^2+6}=x-1\)
\(\Leftrightarrow-2x^2+6=x^2-2x+1\)
\(\Leftrightarrow-3x^2+2x+5=0\)
\(\Leftrightarrow-3x^2+5x-3x+5=0\)
\(\Leftrightarrow-x\left(3x-5\right)-\left(3x-5\right)=0\)
\(\Leftrightarrow\left(3x-5\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\left(nhận\right)\\x=-1\left(loại\right)\end{matrix}\right.\)
