Solve the Nonlinear System of Equations $$\left\{ \begin{array} { l } 5 x ^ { 2 } - 4 y ^ { 2 } = 64 \\4 x ^ { 2 } + 4 y ^ { 2 } = 80\end{array} \right.$$

question 1

Multiple Choice

Solve the nonlinear system of equations.
- $$\left\{ \begin{array} { l } 5 x ^ { 2 } - 4 y ^ { 2 } = 64 \\4 x ^ { 2 } + 4 y ^ { 2 } = 80\end{array} \right.$$

• A) \(( 4 , - 2 ) , ( 4,2 )\)
• B) \(( 4,2 ) , ( 2,4 ) , ( - 4 , - 2 ) , ( - 2 , - 4 )\)
• C) \(( - 4 , - 2 ) , ( - 2 , - 4 )\)
• D) \(( 4,2 ) , ( - 4,2 ) , ( 4 , - 2 ) , ( - 4 , - 2 )\)

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Definitions:

Structural Equation Modelling Technique

A statistical methodology used for testing and estimating causal relationships using a combination of statistical data and qualitative causal assumptions.

Qualitative Models

Analytical models that focus on understanding patterns, themes, and narratives in data, often used in decision-making processes.

Quantitative Models

Mathematical and statistical models that use quantifiable data to represent reality, often for the purpose of prediction or analysis.

Structural Equation Models

Statistical models used to test or estimate the relationships among multiple variables, often in social science research.