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

\frac{3}{2}

Decimal

0.86602 \dots

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}

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