Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 50 \\( x - 2 ) ^ { 2 } + y ^ { 2 } = 50\end{array}$$

question 176

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 50 \\( x - 2 ) ^ { 2 } + y ^ { 2 } = 50\end{array}$$

• A) \(( 1,7 ) , ( 1 , - 7 ) , ( - 1,7 ) , ( - 1 , - 7 )\)
• B) \(( 7,1 ) , ( 7 , - 1 )\)
• C) \(( 7,1 ) , ( 7 , - 1 ) , ( - 7,1 ) , ( - 7 , - 1 )\)
• D) \(( 1,7 ) , ( 1 , - 7 )\)

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