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Give All Solutions of the Nonlinear System of Equations, Including 2x22y2=102x2+4y2=34\begin{array} { l } 2 x ^ { 2 } - 2 y ^ { 2 } = 10 \\2 x ^ { 2 } + 4 y ^ { 2 } = 34\end{array}

Question 277

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
2x22y2=102x2+4y2=34\begin{array} { l } 2 x ^ { 2 } - 2 y ^ { 2 } = 10 \\2 x ^ { 2 } + 4 y ^ { 2 } = 34\end{array}


A) {(-3,-2) ,(-2,-3) }
B) {(3,2) ,(2,3) ,(-3,-2) ,(-2,-3) }
C) {(3,2) ,(-3,2) ,(3,-2) ,(-3,-2) }
D) {(3,-2) ,(3,2) }

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