Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
-$$\begin{array} { l }
5 x ^ { 2 } - 5 y ^ { 2 } = - 60 \
3 x ^ { 2 } + 4 y ^ { 2 } = 76
\end{array}$$
A) $\{ ( 2,4 ) , ( 4,2 ) , ( - 2 , - 4 ) , ( - 4 , - 2 ) \}$
B) $\{ ( - 2 , - 4 ) , ( - 4 , - 2 ) \}$
C) $\{ ( 2 , - 4 ) , ( 2,4 ) \}$
D) $\{ ( 2,4 ) , ( - 2,4 ) , ( 2 , - 4 ) , ( - 2 , - 4 ) \}$

Question

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
-$$\begin{array} { l } 
5 x ^ { 2 } - 5 y ^ { 2 } = - 60 \
3 x ^ { 2 } + 4 y ^ { 2 } = 76
\end{array}$$
A) $\{ ( 2,4 ) , ( 4,2 ) , ( - 2 , - 4 ) , ( - 4 , - 2 ) \}$
B) $\{ ( - 2 , - 4 ) , ( - 4 , - 2 ) \}$
C) $\{ ( 2 , - 4 ) , ( 2,4 ) \}$
D) $\{ ( 2,4 ) , ( - 2,4 ) , ( 2 , - 4 ) , ( - 2 , - 4 ) \}$

Quizplus · Accepted Answer

The Answer of Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
-$$\begin{array} { l } 
5 x ^ { 2 } - 5 y ^ { 2 } = - 60 \
3 x ^ { 2 } + 4 y ^ { 2 } = 76
\end{array}$$
A) $\{ ( 2,4 ) , ( 4,2 ) , ( - 2 , - 4 ) , ( - 4 , - 2 ) \}$
B) $\{ ( - 2 , - 4 ) , ( - 4 , - 2 ) \}$
C) $\{ ( 2 , - 4 ) , ( 2,4 ) \}$
D) $\{ ( 2,4 ) , ( - 2,4 ) , ( 2 , - 4 ) , ( - 2 , - 4 ) \}$

Give All Solutions of the Nonlinear System of Equations, Including 5x2−5y2=−603x2+4y2=76\begin{array} { l } 5 x ^ { 2 } - 5 y ^ { 2 } = - 60 \\3 x ^ { 2 } + 4 y ^ { 2 } = 76\end{array}5x2−5y2=−603x2+4y2=76​

Give All Solutions of the Nonlinear System of Equations, Including $\begin{array} { l } 5 x ^ { 2 } - 5 y ^ { 2 } = - 60 \\3 x ^ { 2 } + 4 y ^ { 2 } = 76\end{array}$