Evaluate the Discriminant for the Equation $w ^ { 2 } + 4 w + 5 = 0$

Multiple Choice

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex.
- $w ^ { 2 } + 4 w + 5 = 0$

A) Two distinct irrational solutions
B) Two distinct rational solutions
C) One rational solution (a double solution)
D) Two distinct nonreal complex solutions