Solve the nonlinear system of equations.
-$$\left\{ \begin{array} { l }
x ^ { 2 } + 2 y ^ { 2 } = 8 \
x ^ { 2 } - 2 y ^ { 2 } = 12
\end{array} \right.$$
A) $( \sqrt { 10 } , \sqrt { 2 } ) , ( \sqrt { 10 } , - \sqrt { 2 } )$
B) $( \sqrt { 10 } , \sqrt { 2 } ) , ( \sqrt { 10 } , - \sqrt { 2 } ) , ( - \sqrt { 10 } , \sqrt { 2 } ) , ( - \sqrt { 10 } , - \sqrt { 2 } )$
C) $( \sqrt { 10 } , \sqrt { 2 } ) , ( - \sqrt { 10 } , - \sqrt { 2 } )$
D) $\varnothing$

Question

Solve the nonlinear system of equations.
-$$\left\{ \begin{array} { l } 
x ^ { 2 } + 2 y ^ { 2 } = 8 \
x ^ { 2 } - 2 y ^ { 2 } = 12
\end{array} \right.$$
A) $( \sqrt { 10 } , \sqrt { 2 } ) , ( \sqrt { 10 } , - \sqrt { 2 } )$
B) $( \sqrt { 10 } , \sqrt { 2 } ) , ( \sqrt { 10 } , - \sqrt { 2 } ) , ( - \sqrt { 10 } , \sqrt { 2 } ) , ( - \sqrt { 10 } , - \sqrt { 2 } )$
C) $( \sqrt { 10 } , \sqrt { 2 } ) , ( - \sqrt { 10 } , - \sqrt { 2 } )$
D) $\varnothing$

Quizplus · Accepted Answer

The Answer of Solve the nonlinear system of equations.
-$$\left\{ \begin{array} { l } 
x ^ { 2 } + 2 y ^ { 2 } = 8 \
x ^ { 2 } - 2 y ^ { 2 } = 12
\end{array} \right.$$
A) $( \sqrt { 10 } , \sqrt { 2 } ) , ( \sqrt { 10 } , - \sqrt { 2 } )$
B) $( \sqrt { 10 } , \sqrt { 2 } ) , ( \sqrt { 10 } , - \sqrt { 2 } ) , ( - \sqrt { 10 } , \sqrt { 2 } ) , ( - \sqrt { 10 } , - \sqrt { 2 } )$
C) $( \sqrt { 10 } , \sqrt { 2 } ) , ( - \sqrt { 10 } , - \sqrt { 2 } )$
D) $\varnothing$

Solve the Nonlinear System of Equations {x2+2y2=8x2−2y2=12\left\{ \begin{array} { l } x ^ { 2 } + 2 y ^ { 2 } = 8 \\x ^ { 2 } - 2 y ^ { 2 } = 12\end{array} \right.{x2+2y2=8x2−2y2=12​

Solve the Nonlinear System of Equations $\left\{ \begin{array} { l } x ^ { 2 } + 2 y ^ { 2 } = 8 \\x ^ { 2 } - 2 y ^ { 2 } = 12\end{array} \right.$