Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } 4 x ^ { 2 } - 4 y ^ { 2 } = 48 \\4 x ^ { 2 } + 2 y ^ { 2 } = 72\end{array}$$

question 52

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } 4 x ^ { 2 } - 4 y ^ { 2 } = 48 \\4 x ^ { 2 } + 2 y ^ { 2 } = 72\end{array}$$

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

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