Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 16 \\16 x ^ { 2 } + 25 y ^ { 2 } = 400\end{array}$$

question 158

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 16 \\16 x ^ { 2 } + 25 y ^ { 2 } = 400\end{array}$$

• A) \(( 4,0 ) , ( - 4,0 )\)
• B) \(( 5,0 ) , ( - 5,0 )\)
• C) \(( 0,4 ) , ( 0 , - 4 )\)
• D) \(( 0,5 ) , ( 0 , - 5 )\)

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