The nature of roots of a quadratic equation can be determined from its discriminant.
Discriminant = b² - 4ac
b = coefficient of x term = 2
a = coefficient of squared term = 2
c = constant = 4
So,
Discriminant = 4 - 4(2)(4) = -28
Since the discriminant is negative, the two roots of the given equation will be complex .
Therefore, the answer to this question is option B