Answer:
The discriminant of ax^2+bx+c is b^2-4ac.
If the discriminant, d, is:
d<0, there are no real solutions (there are two imaginary solutions however)
d=0, there is one real solution
d>0, there are two real solutions
In this case d=16-32=-16 so there are two imaginary solutions. Or from your answer choices, it can be said that there are no real number solutions becuse the discriminant is less than zero.