What are the solutions to the equation x2 + 4x + 5 = 0?
a. x = -4 + 2i or x = -4 - 2i
b. x = 1 or x = 4
c. x = -2 + i or x = 2 - i
d. x = -2 + i or x = -2 - i

Let's use the quadratic formula to factor this.

Our a will be 1, our b is 4, and the c is 5.

Now, we can plug this into the quadratic equation.

Now, all we have to do to find our answers is add the two together and divide the answer, then we subtract the two and divide that by two.

So, -2 + i is one answer.  Now, let's find the other.

So, -2 - i is the other answer.  So, D. is the correct answer because it has both of the solutions.