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:

Ionizing Radiation

Radiation that carries enough energy to liberate electrons from atoms or molecules, thereby ionizing them.

Spent Fuel Rods

Used nuclear reactor fuel that is no longer efficient in generating power but remains radioactive and hazardous.

Depleted Uranium

Uranium with a lower content of the fissile isotope U-235 than natural uranium, used in military applications and for counterweights.