Evaluate the Discriminant for the Equation $2 - 5 a ^ { 2 } = 4 a - 3$

question 346

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.
- $2 - 5 a ^ { 2 } = 4 a - 3$

• A) Two distinct nonreal complex solutions
• B) One rational solution (a double solution)
• C) Two distinct rational solutions
• D) Two distinct irrational solutions

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Definitions:

Good 2

Refers to a second good or item considered in a theoretical economic model, usually in the context of comparative analyses.

Fixed Ratio

A quantitative relationship between two or more variables where one variable is a fixed multiple of the others, often used to describe proportional relationships in finance and engineering.

Excess Goods

Products that exceed the demand in the market, often leading to surplus and potential waste.

Perfect Substitutes

Two goods that could be used in place of one another with no loss of utility to the consumer.