What is the eccentricity 2x^2+y^2=10 ?

The eccentricity 2x^2+y^2=10 is 1/(sqrt(2))

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eccentricity 2x^2+y^2=10

eccentricity

2 x^{2} + y^{2} = 10

\frac{1}{2}

Solution steps

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

Calculate ellipse properties

2 x^{2} + y^{2} = 10 :

Ellipse with center

(h, k) = (0, 0), b = 10, a = 5

= \frac{( 10 ) ^{2} - ( 5 ) ^{2}}{10}

\frac{( 10 ) ^{2} - ( 5 ) ^{2}}{10} = \frac{1}{2}

= \frac{1}{2}

25 x^{2} + 16 y^{2} + 100 x - 96 y - 156 = 0

18 x^{2} + 8 y^{2} + 36 x - 32 y - 22 = 0

8 x^{2} + 12 y^{2} = 96

\frac{( x ) ^{2}}{11} + \frac{( y ) ^{2}}{16} = 1

\frac{x ^{2}}{5} + \frac{y ^{2}}{4.58} = 1

What is the eccentricity 2x^2+y^2=10 ?
The eccentricity 2x^2+y^2=10 is 1/(sqrt(2))