Find the centre ,the lengths of the axes, eccentricity, foci of the following ellipse: `x^2+4y^2-2x+8y+1=0`

Explanation

by rearranging the equation we get


`(x-1)^2/2 + (y+1)^2/(1/2)=1`


we get `x_1=1` and `y_1=-1`


also `a=sqrt2` and `b=1/sqrt2`


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