Convert the Equation to the Standard Form for an Ellipse $$4 x ^ { 2 } + 25 y ^ { 2 } - 8 x + 150 y + 129 = 0$$

question 9

Multiple Choice

Convert the equation to the standard form for an ellipse by completing the square.
- $$4 x ^ { 2 } + 25 y ^ { 2 } - 8 x + 150 y + 129 = 0$$

• A) \(\frac { ( x + 3 ) ^ { 2 } } { 25 } + \frac { ( y - 1 ) ^ { 2 } } { 4 } = 1\)
• B) \(\frac { ( x + 1 ) ^ { 2 } } { 25 } + \frac { ( y - 3 ) ^ { 2 } } { 4 } = 1\)
• C) \(\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y + 3 ) ^ { 2 } } { 25 } = 1\)
• D) \(\frac { ( x - 1 ) ^ { 2 } } { 25 } + \frac { ( y + 3 ) ^ { 2 } } { 4 } = 1\)

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