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Give All Solutions of the Nonlinear System of Equations, Including 5x25y2=603x2+4y2=76\begin{array} { l } 5 x ^ { 2 } - 5 y ^ { 2 } = - 60 \\3 x ^ { 2 } + 4 y ^ { 2 } = 76\end{array}

Question 327

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- 5x25y2=603x2+4y2=76\begin{array} { l } 5 x ^ { 2 } - 5 y ^ { 2 } = - 60 \\3 x ^ { 2 } + 4 y ^ { 2 } = 76\end{array}


A) {(2,4) ,(4,2) ,(2,4) ,(4,2) }\{ ( 2,4 ) , ( 4,2 ) , ( - 2 , - 4 ) , ( - 4 , - 2 ) \}
B) {(2,4) ,(4,2) }\{ ( - 2 , - 4 ) , ( - 4 , - 2 ) \}
C) {(2,4) ,(2,4) }\{ ( 2 , - 4 ) , ( 2,4 ) \}
D) {(2,4) ,(2,4) ,(2,4) ,(2,4) }\{ ( 2,4 ) , ( - 2,4 ) , ( 2 , - 4 ) , ( - 2 , - 4 ) \}

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