What is the eccentricity x^2+8y^2=32 ?

The eccentricity x^2+8y^2=32 is (sqrt(7))/(2sqrt(2))

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eccentricity x^2+8y^2=32

eccentricity

\frac{7}{2 2}

Decimal

0.93541 \dots

Solution steps

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

Calculate ellipse properties

x^{2} + 8 y^{2} = 32 :

Ellipse with center

(h, k) = (0, 0), a = 42, b = 2

= \frac{( 4 2 ) ^{2} - 2 ^{2}}{4 2}

\frac{( 4 2 ) ^{2} - 2 ^{2}}{4 2} = \frac{7}{2 2}

= \frac{7}{2 2}

What is the eccentricity x^2+8y^2=32 ?
The eccentricity x^2+8y^2=32 is (sqrt(7))/(2sqrt(2))