=>x^2+2x+9=9
=>x^2+2x=0
=>x(x+2)=0
=>x=0 hoặc x=-2
\(\sqrt{x^2+2x+9}=3\\ \Leftrightarrow\sqrt{\left(x^2+2x+9\right)^2}=3^2\\ \Leftrightarrow x^2+2x+9-9=0\\ \Leftrightarrow x^2+2x=0\\ \Leftrightarrow x\left(x+2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x+2=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=-2\end{matrix}\right.\)