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

The eccentricity x^2+2y^2=2 is 1/(sqrt(2))

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eccentricity x^2+2y^2=2

eccentricity

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

\frac{1}{2}

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

(h, k) = (0, 0), a = 2, b = 1

= \frac{( 2 ) ^{2} - 1 ^{2}}{2}

\frac{( 2 ) ^{2} - 1 ^{2}}{2} = \frac{1}{2}

= \frac{1}{2}

+ 36 x^{2} + y^{2} = 36

(x - 1)^{2} + (y - 2)^{2} = 30

\frac{x ^{2}}{16} + \frac{y ^{2}}{7} = 1

(\frac{x - 1}{4})^{2} + (\frac{y + 2}{3})^{2} = 1

4 x^{2} + 9 y^{2} - 8 x - 36 y + 4 = 0

What is the eccentricity x^2+2y^2=2 ?
The eccentricity x^2+2y^2=2 is 1/(sqrt(2))