Solve the Nonlinear System of Equations $$\left\{ \begin{array} { l } x ^ { 2 } + 4 y ^ { 2 } = 5 \\x - y = - 3\end{array} \right.$$

question 129

Multiple Choice

Solve the nonlinear system of equations.
- $$\left\{ \begin{array} { l } x ^ { 2 } + 4 y ^ { 2 } = 5 \\x - y = - 3\end{array} \right.$$

• A) \(( 0,0 )\)
• B) \(\left( \frac { 3 + \sqrt { 29 } } { 5 } , \frac { - 12 + \sqrt { 29 } } { 5 } \right) , \left( \frac { 3 + \sqrt { 29 } } { 5 } , \frac { - 12 - \sqrt { 29 } } { 5 } \right) , \left( \frac { 3 - \sqrt { 29 } } { 5 } , \frac { - 12 + \sqrt { 29 } } { 5 } \right) , \left( \frac { 3 - \sqrt { 29 } } { 5 } , \frac { - 12 - \sqrt { 29 } } { 5 } \right)\)
• C) \(\left( \frac { - 12 + \sqrt { 29 } } { 5 } , \frac { 3 + \sqrt { 29 } } { 5 } \right) , \left( \frac { - 12 + \sqrt { 29 } } { 5 } , \frac { 3 - \sqrt { 29 } } { 5 } \right) , \left( \frac { - 12 - \sqrt { 29 } } { 5 } , \frac { 3 + \sqrt { 29 } } { 5 } \right) , \left( \frac { - 12 - \sqrt { 29 } } { 5 } , \frac { 3 - \sqrt { 29 } } { 5 } \right)\)
• D) \(\varnothing\)

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