Answer:
Yes
Step-by-step explanation:
[tex]x^2+8x+9=0\\(x^2+8x+16)-16+9=0\\(x^2+8x+16)=7\\(x+4)^2=7\\[/tex]
[tex]x+4=[/tex] ±[tex]\sqrt{7}[/tex]
[tex]x=-4[/tex] ± [tex]\sqrt{7}[/tex]
So yes that looks right!