Evaluate the Discriminant for the Equation $$v ^ { 2 } - 7 v + 7 = 0$$

question 145

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.
- $$v ^ { 2 } - 7 v + 7 = 0$$

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

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Definitions:

Scarcity Problem

A situation where unlimited wants exceed the limited resources available to fulfill those wants, necessitating prioritization and decision-making.

Economic Wants

Desires for goods and services that individuals and businesses are willing to pay for, which drive economic activity and resource allocation.

Productive Resources

The inputs used in the production of goods and services, including natural resources, human resources, and capital goods.

Full Employment

A situation in an economy where all available labor resources are being used in the most efficient way possible, with minimal unemployment.