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Give All Solutions of the Nonlinear System of Equations, Including x2+y2=90x2y2=72\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 90 \\x ^ { 2 } - y ^ { 2 } = 72\end{array}

Question 373

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- x2+y2=90x2y2=72\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 90 \\x ^ { 2 } - y ^ { 2 } = 72\end{array}


A) {(9,3) ,(3,9) ,(9,3) ,(3,9) }\{ ( 9,3 ) , ( 3,9 ) , ( - 9 , - 3 ) , ( - 3 , - 9 ) \}
B) {(9,3) ,(9,3) }\{ ( 9 , - 3 ) , ( 9,3 ) \}
C) {(9,3) ,(3,9) }\{ ( - 9 , - 3 ) , ( - 3 , - 9 ) \}
D) {(9,3) ,(9,3) ,(9,3) ,(9,3) }\{ ( 9,3 ) , ( - 9,3 ) , ( 9 , - 3 ) , ( - 9 , - 3 ) \}

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