ANSWER:
C. and D.
STEP-BY-STEP EXPLANATION:
We have the following equation:
[tex]x^2-6x+9=11[/tex]We solve by obtaining a squared binomial, just like this:
[tex]\begin{gathered} x^2-6x+9-9=11-9 \\ x^2-6x+(-3)^2=2+(-3)^2 \\ (x-3)^2=2+9 \\ x-3=\pm\sqrt[]{11} \\ x=\pm\sqrt[]{11}+3 \\ x_1=\sqrt[]{11}+3 \\ x_2=-\sqrt[]{11}+3 \end{gathered}[/tex]Therefore the solutions are options C. and D.