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Give All Solutions of the Nonlinear System of Equations, Including x2+y2=80x2y2=48\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 80 \\x ^ { 2 } - y ^ { 2 } = 48\end{array}

Question 187

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- x2+y2=80x2y2=48\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 80 \\x ^ { 2 } - y ^ { 2 } = 48\end{array}


A) {(8,4) ,(4,8) }\{ ( - 8 , - 4 ) , ( - 4 , - 8 ) \}
B) {(8,4) ,(8,4) }\{ ( 8 , - 4 ) , ( 8,4 ) \}
C) {(8,4) ,(8,4) ,(8,4) ,(8,4) }\{ ( 8,4 ) , ( - 8,4 ) , ( 8 , - 4 ) , ( - 8 , - 4 ) \}
D) {(8,4) ,(4,8) ,(8,4) ,(4,8) }\{ ( 8,4 ) , ( 4,8 ) , ( - 8 , - 4 ) , ( - 4 , - 8 ) \}

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