Answer:
D) [tex]\frac{-6\pm\sqrt{8} }{2}[/tex]
Step-by-step explanation:
[tex]x^2+6x+7=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]
[tex]x=\frac{-6\pm\sqrt{36-28} }{2}[/tex]
[tex]x=\frac{-6\pm\sqrt{8} }{2}[/tex] <-- correct option but not simplified fully
[tex]x=\frac{-6\pm2\sqrt{2}}{2}[/tex]
[tex]x=-3\pm\sqrt{2}[/tex]
