Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x y = 16 \\x ^ { 2 } + y ^ { 2 } = 68\end{array}$$

question 211

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x y = 16 \\x ^ { 2 } + y ^ { 2 } = 68\end{array}$$

• A) \(( 2,8 ) , ( 8,2 ) , ( 2 , - 8 ) , ( 8 , - 2 )\)
• B) \(( 2 , - 2 ) , ( - 2 , - 8 ) , ( 8,2 ) , ( - 8 , - 2 )\)
• C) \(( - 2 , - 8 ) , ( - 8 , - 2 ) , ( - 2,8 ) , ( - 8,2 )\)
• D) \(( 2,8 ) , ( - 2 , - 8 ) , ( 2 , - 8 ) , ( - 2,8 )\)

---

Definitions:

Catalyst for Change

An individual or event that precipitates or accelerates significant changes or transformations within an organization or community.

Authentic Leadership

A leadership style that emphasizes genuine, transparent, and ethical leader behavior, encouraging trust and fostering greater engagement among followers.

Poor Performance Evaluation

An assessment that indicates an individual or group's work output or achievement is below expected standards or objectives.

Balanced Processing

An objective evaluation method in decision-making where both positive and negative information are considered equally.