Find All Real Solutions to the System of Equations Using $\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 27 \\x ^ { 2 } + y ^ { 2 } = 39\end{array}$

question 30

Multiple Choice

Find all real solutions to the system of equations using the addition method.
- $\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 27 \\x ^ { 2 } + y ^ { 2 } = 39\end{array}$

• A) \(( - \sqrt { 33 } , - \sqrt { 6 } )\)
• B) \(( \sqrt { 33 } , \sqrt { 6 } ) , ( - \sqrt { 33 } , \sqrt { 6 } ) , ( \sqrt { 33 } , - \sqrt { 6 } ) , ( - \sqrt { 33 } , - \sqrt { 6 } )\)
• C)(0, 0)
• D) \(( \sqrt { 33 } , \sqrt { 6 } ) , ( - \sqrt { 33 } , \sqrt { 6 } )\)

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