Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{aligned}x ^ { 2 } + y ^ { 2 } & = 4 \\y & = \frac { 1 } { 2 } x ^ { 2 } - 2\end{aligned} \right.$

question 115

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{aligned}x ^ { 2 } + y ^ { 2 } & = 4 \\y & = \frac { 1 } { 2 } x ^ { 2 } - 2\end{aligned} \right.$

• A) \(( - 2,0 ) , ( 2,0 )\)
• B) \(( - 2,0 ) , ( 2,0 ) , ( 0,2 )\)
• C) \(( - 2,0 ) , ( 0,2 ) , ( 0 , - 2 )\)
• D) \(( - 2,0 ) , ( 2,0 ) , ( 0 , - 2 )\)

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