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Give All Solutions of the Nonlinear System of Equations, Including 3x2+3y2=206x2+6y2=48\begin{array} { l } 3 x ^ { 2 } + 3 y ^ { 2 } = 20 \\6 x ^ { 2 } + 6 y ^ { 2 } = 48\end{array}

Question 240

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
3x2+3y2=206x2+6y2=48\begin{array} { l } 3 x ^ { 2 } + 3 y ^ { 2 } = 20 \\6 x ^ { 2 } + 6 y ^ { 2 } = 48\end{array}


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

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