Give All Solutions of the Nonlinear System of Equations, Including $\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 164 \\x ^ { 2 } - y ^ { 2 } = 36\end{array}$

question 167

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 164 \\x ^ { 2 } - y ^ { 2 } = 36\end{array}$

• A) {(10,8),(-10,8),(10,-8),(-10,-8)}
• B) {(-10,-8),(-8,-10)}
• C) {(10,8),(8,10),(-10,-8),(-8,-10)}
• D) {(10,-8),(10,8)}

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