Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 116 \\x ^ { 2 } - y ^ { 2 } = 84\end{array}$$

question 101

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 116 \\x ^ { 2 } - y ^ { 2 } = 84\end{array}$$

• A) \(( 10 , - 4 ) , ( 10,4 )\)
• B) \(( - 10 , - 4 ) , ( - 4 , - 10 )\)
• C) \(( 10,4 ) , ( - 10,4 ) , ( 10 , - 4 ) , ( - 10 , - 4 )\)
• D) \(( 10,4 ) , ( 4,10 ) , ( - 10 , - 4 ) , ( - 4 , - 10 )\)

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