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

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

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

eccentricity

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

\frac{3}{2}

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

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

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

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

= \frac{3}{2}

2 x^{2} + y^{2} - 8 y - 2 x + 1 = 0

\frac{x ^{2}}{36} + \frac{y ^{2}}{81} = 1

\frac{1}{5} x^{2} + \frac{1}{125} y^{2} = 5

3 x^{2} + 2 y^{2} = 6

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

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