The Sum of the Squares of Two Consecutive Positive Integers

question 90

Multiple Choice

The sum of the squares of two consecutive positive integers is forty-one. Find the two integers.

• A) 8, 9
• B) 2, 3
• C) 6, 7
• D) 4, 5
• E) 5, 6

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Definitions:

Downward-Sloping Demand

A concept in economics that illustrates how the quantity demanded of a good decreases as its price increases, assuming all other factors remain constant.

Monopolistic Competitor

A market structure in which many firms sell products that are similar but not identical, allowing for competition on factors other than price.

Price Control

Government-imposed limits on the prices charged for goods and services in a market, aimed at maintaining affordability or preventing inflation.

Long-Run Equilibrium

A state in economics where all firms and consumers have fully adjusted to all changes in the market, resulting in the optimal distribution of resources in the long term.