Respuesta :

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.