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:

General Framework

A foundational structure, set of guidelines, or system that serves as a basis for developing something more specific or detailed.

Ethical Issue

A moral dilemma that requires an individual or organization to choose between alternatives that must be evaluated as right (ethical) or wrong (unethical).

Ethical Actions

Behaviors or decisions based on moral principles of what is right, fair, and just.

Fairness

The quality of being impartial, equitable, and free from bias or injustice.