What is the eccentricity 4x^2+y^2-8x+4y-8=0 ?

The eccentricity 4x^2+y^2-8x+4y-8=0 is (sqrt(3))/2

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eccentricity 4x^2+y^2-8x+4y-8=0

eccentricity

\frac{3}{2}

Decimal

0.86602 \dots

Solution steps

= \frac{b ^{2} - a ^{2}}{b}

Calculate ellipse properties

4 x^{2} + y^{2} - 8 x + 4 y - 8 = 0 :

Ellipse with center

(h, k) = (1, - 2), b = 4, a = 2

= \frac{4 ^{2} - 2 ^{2}}{4}

\frac{4 ^{2} - 2 ^{2}}{4} = \frac{3}{2}

= \frac{3}{2}

What is the eccentricity 4x^2+y^2-8x+4y-8=0 ?
The eccentricity 4x^2+y^2-8x+4y-8=0 is (sqrt(3))/2