Solve the System by the Method of Substitution $$\left\{ \begin{aligned}x ^ { 2 } - 12 y ^ { 2 } & = 144 \\x ^ { 2 } + y ^ { 2 } & = 1\end{aligned} \right.$$

question 50

Multiple Choice

Solve the system by the method of substitution. $$\left\{ \begin{aligned}x ^ { 2 } - 12 y ^ { 2 } & = 144 \\x ^ { 2 } + y ^ { 2 } & = 1\end{aligned} \right.$$

• A) \(( 0,12 ) , ( 0 , - 12 )\)
• B) \(\left( 12 , \frac { 1 } { 12 } \right) , \left( 12 , - \frac { 1 } { 12 } \right) , \left( - 12 , \frac { 1 } { 12 } \right) , \left( - 12 , - \frac { 1 } { 12 } \right)\)
• C)(12 \(2 \sqrt { 3 }\) , 12 \(\sqrt { 13 }\) ), (12 \(2 \sqrt { 3 }\) , 12 \(\sqrt { 13 }\) ), ( 12 \(2 \sqrt { 3 }\) ,12 \(\sqrt { 13 }\) ), ( 12 \(2 \sqrt { 3 }\) , 12 \(\sqrt { 13 }\) )
• D) \(\left( \frac { 155 } { 11 } , - \frac { 144 } { 11 } \right)\)
• E)no solution exists

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Definitions:

Internal Neurosis

Disorders involving emotional distress and thought patterns without a clear organic cause, often resulting in anxiety, depression, or obsessive behaviors.

Bobo Doll Experiments

A series of psychological experiments that demonstrated how children can learn aggressive behaviors through observation.

Experimental Group

In an experiment, the group that is exposed to the experimental treatment.

Control Group

In an experiment, the group that does not receive the experimental treatment.