Convert the Equation to the Standard Form for an Ellipse $$25 x ^ { 2 } + 16 y ^ { 2 } - 100 x + 96 y - 156 = 0$$

question 85

Multiple Choice

Convert the equation to the standard form for an ellipse by completing the square on x and y.
- $$25 x ^ { 2 } + 16 y ^ { 2 } - 100 x + 96 y - 156 = 0$$

• A) \(\frac { ( x - 2 ) ^ { 2 } } { 16 } + \frac { ( y + 3 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( x + 3 ) ^ { 2 } } { 16 } + \frac { ( y - 2 ) ^ { 2 } } { 25 } = 1\)
• C) \(\frac { ( x - 2 ) ^ { 2 } } { 25 } + \frac { ( y + 3 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( x + 2 ) ^ { 2 } } { 16 } + \frac { ( y - 3 ) ^ { 2 } } { 25 } = 1\)

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