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

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

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

Ellipse with center

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

= \frac{2 ^{2} - 1 ^{2}}{2}

\frac{2 ^{2} - 1 ^{2}}{2} = \frac{3}{2}

= \frac{3}{2}

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