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

question 205

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

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