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Question 617654: 88+9y2=8x-54y-x2 how do i put this in standard form?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 88+9y2=8x-54y-x2 how do i put this in standard form?
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x2-8x+9y2+54y+88=0
complete the squares
(x^2-8x+16)+9(y^2+6y+9)=-88+16+81
(x-4)^2+9(y+3)^2=9
(x-4)^2/9+(y+3)^2/1=1
This is an equation of an ellipse with horizontal major axis.
Its standard form:(x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k)=(x,y) coordinates of center
For given equation:
center: (4,-3)
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