Use the Discriminant to Find the Number and Kind of Solutions

question 56

Multiple Choice

Use the discriminant to find the number and kind of solutions for the following equation.

• A) D = - 9, two complex
• B) D = 9, two rational
• C) D = 0, one rational
• D) D = 41, two irrational
• E) D = - 41, two complex

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Definitions:

Lottery

A lottery is a form of gambling which involves drawing lots for a prize, or the allocation of a resource or a chance event resulting in a significant gain to the holder.

Von Neumann-Morgenstern

A theory of expected utility that serves as a foundational framework in the field of game theory, describing strategies for rational decision-making under uncertainty.

Expected Utility

The sum of the utilities associated with all possible outcomes, weighted by the probability of each outcome occurring.

Probability

The quantification of the probability that an event will happen, represented by a number ranging from 0 to 1, with 0 signifying an impossible event and 1 signifying a certain event.