Solve the Nonlinear System of Equations $$\left\{ \begin{array} { l } x ^ { 2 } - y ^ { 2 } = 37 \\x ^ { 2 } + y ^ { 2 } = 43\end{array} \right.$$

question 27

Multiple Choice

Solve the nonlinear system of equations.
- $$\left\{ \begin{array} { l } x ^ { 2 } - y ^ { 2 } = 37 \\x ^ { 2 } + y ^ { 2 } = 43\end{array} \right.$$

• A) \(( - 2 \sqrt { 10 } , - \sqrt { 3 } )\)
• B) \(( 2 \sqrt { 10 } , \sqrt { 3 } ) , ( - 2 \sqrt { 10 } , \sqrt { 3 } ) , ( 2 \sqrt { 10 } , - \sqrt { 3 } ) , ( - 2 \sqrt { 10 } , - \sqrt { 3 } )\)
• C) \(( 2 \sqrt { 10 } , \sqrt { 3 } ) , ( - 2 \sqrt { 10 } , \sqrt { 3 } )\)
• D) \(\varnothing\)

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