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Determine the Real Solutions to the System of Nonlinear Equations 4x2−4y2=484x2+2y2=72\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.
- 4x2−4y2=484x2+2y2=72\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) ( 4,2 ) , ( 2,4 ) , ( - 4 , - 2 ) , ( - 2 , - 4 )
B) (4,−2) ,(4,2) ( 4 , - 2 ) , ( 4,2 )
C) (4,2) ,(−4,2) ,(4,−2) ,(−4,−2) ( 4,2 ) , ( - 4,2 ) , ( 4 , - 2 ) , ( - 4 , - 2 )
D) (−4,−2) ,(−2,−4) ( - 4 , - 2 ) , ( - 2 , - 4 )

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