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

question 19

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:

Festinger and Carlsmith's Experiment

A psychological study on cognitive dissonance which demonstrated how attitude change can result from forced compliance behavior.

Enjoyable

Experiences or activities that provide pleasure, satisfaction, or joy, making them desirable to engage in.

Cognitive Dissonance Theory

The Cognitive Dissonance Theory proposes that people experience discomfort (dissonance) when their beliefs or actions contradict each other, prompting them to alter their attitudes or behaviors to reduce the dissonance.

Festinger and Carlsmith

refers to the researchers Leon Festinger and James M. Carlsmith, known for their classic 1959 study on cognitive dissonance, showing how inconsistencies between attitudes and behaviors lead to psychological discomfort and a drive to resolve it.