Without Solving, Determine the Character of the Solutions of the Equation

question 26

Multiple Choice

Without solving, determine the character of the solutions of the equation.
- $$x ^ { 2 } + 4 x + 5 = 0$$

• A) two unequal real solutions
• B) two complex solutions that are conjugates of each other
• C) a repeated real solution

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Definitions:

Expected Time

The estimated time assumed for the completion of a task or project, often used in planning and scheduling.

Optimistic

A mindset or attitude that tends to expect the most favorable outcomes of situations or believes that good ultimately predominates over evil in the world.

Pessimistic

A tendency to anticipate unfavorable outcomes or emphasize the negative aspects of a situation.

Expected Time

An estimation of the duration it would likely take to complete a task, often used in project management for scheduling.