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

\frac{1}{2}

Decimal

0.70710 \dots

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}

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