Sửa đề: \(x^2+y^2+z^2-2x-4y+6z=-14\)
Ta có: \(x^2+y^2+z^2-2x-4y+6z=-14\)
=>\(x^2+y^2+z^2-2x-4y+6z+14=0\)
=>\(x^2-2x+1+y^2-4y+4+z^2+6z+9=0\)
=>\(\left(x-1\right)^2+\left(y-2\right)^2+\left(z+3\right)^2=0\)
=>\(\begin{cases}x-1=0\\ y-2=0\\ z+3=0\end{cases}\Rightarrow\begin{cases}x=1\\ y=2\\ z=-3\end{cases}\)