SOLUTION: find the center of an ellipse with this equation: 9x2+16y2-18x+64y=71

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Question 697047: find the center of an ellipse with this equation:
9x2+16y2-18x+64y=71
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the center of an ellipse with this equation:
9x2+16y2-18x+64y=71
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9x^2+16y^2-18x+64y=71
complete the square:
9x^2-18x+16y^2+64y=71
9(x^2-2x+1)+16(y^2+4y+4)=71+9+64
9(x-1)^2+16(y+2)^2=144
(x-1)^2/16+(y+2)^2/9=1
this is an equation of an ellipse with horizontal major axis and center at (1,-2)