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

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

\frac{7}{2 2}

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}

4 x^{2} + 9 y^{2} - 36 = 0

3 x^{2} + 2 y^{2} + 6 x - 4 y + 5 = 18

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

3 x^{2} + 6 y^{2} = 18

9 x^{2} + 16 y^{2} - 54 x + 64 y + 1 = 0

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