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Convert the Equation to the Standard Form for an Ellipse 25x2+36y250x216y551=025 x ^ { 2 } + 36 y ^ { 2 } - 50 x - 216 y - 551 = 0

Question 61

Multiple Choice

Convert the equation to the standard form for an ellipse by completing the square on x and y.
- 25x2+36y250x216y551=025 x ^ { 2 } + 36 y ^ { 2 } - 50 x - 216 y - 551 = 0


A) (x1) 236+(y3) 225=1\frac { ( x - 1 ) ^ { 2 } } { 36 } + \frac { ( y - 3 ) ^ { 2 } } { 25 } = 1
B) (x3) 236+(y1) 225=1\frac { ( x - 3 ) ^ { 2 } } { 36 } + \frac { ( y - 1 ) ^ { 2 } } { 25 } = 1
C) (x1) 225+(y3) 236=1\frac { ( x - 1 ) ^ { 2 } } { 25 } + \frac { ( y - 3 ) ^ { 2 } } { 36 } = 1
D) (x+1) 236+(y+3) 225=1\frac { ( x + 1 ) ^ { 2 } } { 36 } + \frac { ( y + 3 ) ^ { 2 } } { 25 } = 1

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