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

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

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eccentricity x^2+4y^2=4

eccentricity

x^{2} + 4 y^{2} = 4

\frac{3}{2}

Solution steps

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

Calculate ellipse properties

x^{2} + 4 y^{2} = 4 :

Ellipse with center

(h, k) = (0, 0), a = 2, b = 1

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

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

= \frac{3}{2}

9 x^{2} + 36 y^{2} = 324

5 x^{2} + 7 y^{2} = 35

3 x^{2} + y^{2} + 18 x - 2 y - 8 = 0

x^{2} + 4 y^{2} - 16 = 0

36 x^{2} + 9 y^{2} = 324

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