Solve the system by the substitution method.
-$$\begin{array} { l }
5 x ^ { 2 } - y ^ { 2 } = 10 \
y = x ^ { 2 } - 2
\end{array}$$
A) $( - \sqrt { 7 } , 5 ) , ( \sqrt { 7 } , 5 )$
B) $( - \sqrt { 2 } , 0 ) , ( \sqrt { 2 } , 0 ) , ( - \sqrt { 7 } , 5 ) , ( \sqrt { 7 } , 5 )$
C) $( - \sqrt { 2 } , 0 ) , ( \sqrt { 2 } , 0 )$
D) $( 0 , - \sqrt { 2 } ) , ( 0 , \sqrt { 2 } ) , ( 5 , - \sqrt { 7 } ) , ( 5 , \sqrt { 7 } )$

Question

Solve the system by the substitution method.
-$$\begin{array} { l } 
5 x ^ { 2 } - y ^ { 2 } = 10 \
y = x ^ { 2 } - 2
\end{array}$$
A) $( - \sqrt { 7 } , 5 ) , ( \sqrt { 7 } , 5 )$
B) $( - \sqrt { 2 } , 0 ) , ( \sqrt { 2 } , 0 ) , ( - \sqrt { 7 } , 5 ) , ( \sqrt { 7 } , 5 )$
C) $( - \sqrt { 2 } , 0 ) , ( \sqrt { 2 } , 0 )$
D) $( 0 , - \sqrt { 2 } ) , ( 0 , \sqrt { 2 } ) , ( 5 , - \sqrt { 7 } ) , ( 5 , \sqrt { 7 } )$

Quizplus · Accepted Answer

The Answer is B

Solve the System by the Substitution Method 5x2−y2=10y=x2−2\begin{array} { l } 5 x ^ { 2 } - y ^ { 2 } = 10 \\y = x ^ { 2 } - 2\end{array}5x2−y2=10y=x2−2​

Solve the System by the Substitution Method $\begin{array} { l } 5 x ^ { 2 } - y ^ { 2 } = 10 \\y = x ^ { 2 } - 2\end{array}$