SOLUTION: Find the center, vertices, and foci of the ellipse x^2+4y^2-6x+24y+41=0

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Question 310643: Find the center, vertices, and foci of the ellipse x^2+4y^2-6x+24y+41=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
+x%5E2%2B4y%5E2-6x%2B24y%2B41=0
+x%5E2-6x%2B4y%5E2%2B24y%2B41=0
+%28x%5E2-6x%2B9%29%2B4%28y%5E2%2B6y%2B9%29%2B41=9%2B36
%28x-3%29%5E2%2B4%28y%2B3%29%5E2%2B41=45
%28x-3%29%5E2%2B4%28y%2B3%29%5E2=4
%28x-3%29%5E2%2F4%2B%28y%2B3%29%5E2=1
Center:(3,-3)
a=2
b=1
c=sqrt%28a%5E2-b%5E2%29=sqrt%283%29