What is the eccentricity 2x^2+8y^2=16 ?

The eccentricity 2x^2+8y^2=16 is (sqrt(3))/2

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eccentricity 2x^2+8y^2=16

eccentricity

2 x^{2} + 8 y^{2} = 16

\frac{3}{2}

Solution steps

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

Calculate ellipse properties

2 x^{2} + 8 y^{2} = 16 :

Ellipse with center

(h, k) = (0, 0), a = 22, b = 2

= \frac{( 2 2 ) ^{2} - ( 2 ) ^{2}}{2 2}

\frac{( 2 2 ) ^{2} - ( 2 ) ^{2}}{2 2} = \frac{3}{2}

= \frac{3}{2}

\frac{x ^{2}}{4} + \frac{y ^{2}}{3.2} = 1

9 x^{2} + 7 y^{2} = 63

\frac{x ^{2}}{49} + \frac{y ^{2}}{16} = 1

x^{2} + 16 y^{2} - 64 = 0

x^{2} + 4 y^{2} - 6 x + 8 y + 9 = 0

What is the eccentricity 2x^2+8y^2=16 ?
The eccentricity 2x^2+8y^2=16 is (sqrt(3))/2