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Give All Solutions of the Nonlinear System of Equations, Including 2x23y2=383x2+5y2=95\begin{array} { l } 2 x ^ { 2 } - 3 y ^ { 2 } = 38 \\3 x ^ { 2 } + 5 y ^ { 2 } = 95\end{array}

Question 105

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- 2x23y2=383x2+5y2=95\begin{array} { l } 2 x ^ { 2 } - 3 y ^ { 2 } = 38 \\3 x ^ { 2 } + 5 y ^ { 2 } = 95\end{array}


A) {(5,2) ,(2,5) ,(5,2) ,(2,5) }\{ ( 5,2 ) , ( 2,5 ) , ( - 5 , - 2 ) , ( - 2 , - 5 ) \}
B) {(5,2) ,(5,2) }\{ ( 5 , - 2 ) , ( 5,2 ) \}
C) {(5,2) ,(2,5) }\{ ( - 5 , - 2 ) , ( - 2 , - 5 ) \}
D) {(5,2) ,(5,2) ,(5,2) ,(5,2) }\{ ( 5,2 ) , ( - 5,2 ) , ( 5 , - 2 ) , ( - 5 , - 2 ) \}

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