Question

Please show me the answer checking to see if I got it right

Answer 1

we have

`\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=√(2) \\ x-3+3=√(2)+3 \\ x=√(2)+3 \\ \text{and } \\ x-3=-√(2) \\ x-3+3=-√(2)+3 \\ x=-√(2)+3 \end{gathered}`

answer: A and D