Answer:
Step-by-step explanation:
I'm assuming you're factoring this! I will throw the values into the quadratic formula:
[tex]x=\frac{-4+/-\sqrt{4^2-4(1)(8)} }{2}[/tex] which simplifies to
[tex]x=\frac{-4+/-\sqrt{-16} }{}[/tex]
Everybody knows that you can't have a negative under a radical that has an even index, so we have to offset it with an i-squared:
[tex]x=\frac{-4+/-\sqrt{i^2(16)} }{}[/tex] which simplifies to
[tex]x=\frac{-4+/-4i}{2}[/tex] which simplifies, finally, to
x = -2 ± 2i
Choice D.