we have
[tex]\begin{gathered} x^2-6x+9=2 \\ x^2-6x+9-9=2-9 \\ x^2-6x=-7 \\ x^2-6x+\mleft(-3\mright)^2=-7+\mleft(-3\mright)^2 \\ x^2-6x+\mleft(-3\mright)^2=-7+9 \\ x^2-6x+\mleft(-3\mright)^2=2 \\ \mleft(x-3\mright)^2=2 \\ x-3=\sqrt{2} \\ x-3+3=\sqrt{2}+3 \\ x=\sqrt{2}+3 \\ \text{and } \\ x-3=-\sqrt{2} \\ x-3+3=-\sqrt{2}+3 \\ x=-\sqrt{2}+3 \end{gathered}[/tex]
answer: A and D
