Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 27 \\x ^ { 2 } + y ^ { 2 } = 51\end{array}$$

question 179

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 27 \\x ^ { 2 } + y ^ { 2 } = 51\end{array}$$

• A) \(( 0,0 )\)
• B) \(( \sqrt { 39 } , 2 \sqrt { 3 } ) , ( - \sqrt { 39 } , 2 \sqrt { 3 } )\)
• C) \(( \sqrt { 39 } , 2 \sqrt { 3 } ) , ( - \sqrt { 39 } , 2 \sqrt { 3 } ) , ( \sqrt { 39 } , - 2 \sqrt { 3 } ) , ( - \sqrt { 39 } , - 2 \sqrt { 3 } )\)
• D) \(( \sqrt { 39 } , 2 \sqrt { 3 } ) , ( - \sqrt { 39 } , - 2 \sqrt { 3 } )\)

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