Explanation
We are given the following:
[tex](x+3)^2=64[/tex]
We are required to determine the solution(s) to the given equation.
This is achieved thus:
[tex]\begin{gathered} (x+3)^2=64 \\ \text{ Square root both sides} \\ \sqrt{(x+3)^2}=\pm\sqrt{64} \\ x+3=\pm8 \\ x+3=8;x+3=-8 \\ x=8-3;x=-8-3 \\ x=5;x=-11 \end{gathered}[/tex]
Hence, the answers are:
[tex]\begin{gathered} x=5 \\ x=-11 \end{gathered}[/tex]
Options A and D are correct.
