Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 4 \\x + y = 2\end{array}$$

question 28

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 4 \\x + y = 2\end{array}$$

• A) \(( 0,0 ) , ( 2 , - 2 )\)
• B) \(( 2 , - 2 ) , ( - 2 , - 2 )\)
• C) \(( 0 , - 2 ) , ( - 2,0 )\)
• D) \(( 0,2 ) , ( 2,0 )\)

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Definitions:

Availability Heuristic

A cognitive bias that causes people to overestimate the likelihood of events based on their availability in memory, making them seem more common or frequent than they are.

Additive Strategy

An approach in problem-solving where multiple solutions are added together to form the final answer or solve a complex issue.

Framing

The way information is presented to the audience, which can influence decision-making and perceptions by highlighting certain aspects while downplaying others.

Gut Feelings

Intuitive judgments and responses that one cannot articulately rationalize, often based on experience.