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

---

Definitions:

Stereotyping

Assigning a fixed, generalized idea or identity to individuals based on their membership in a particular group, often leading to prejudgment.

Duplex Mind

The concept that the human mind operates on two levels: automatic, intuitive processing, and deliberate, rational thought.

Automatic System

Part of the cognitive system that is fast, unconscious, and requires minimal effort, as opposed to the effortful, conscious processing system.

Deliberate System

The deliberate system, in psychological theory, refers to one of two systems of thinking: slower, more rational, and conscious thought processes that require effort and deliberation.