What is the eccentricity 2x^2+y^2=50 ?

The eccentricity 2x^2+y^2=50 is 1/(sqrt(2))

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eccentricity 2x^2+y^2=50

eccentricity

2 x^{2} + y^{2} = 50

\frac{1}{2}

Solution steps

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

Calculate ellipse properties

2 x^{2} + y^{2} = 50 :

Ellipse with center

(h, k) = (0, 0), b = 52, a = 5

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

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

= \frac{1}{2}

4 x^{2} + 3 y^{2} + 8 x - 24 y + 51 = 0

x^{2} + y^{2} + 6 x - 4 y - 3 = 0

\frac{x ^{2}}{25} + \frac{y ^{2}}{36} = 1

4 x^{2} + y^{2} = 16

x^{2} + y^{2} - 6 x - 8 y = 50

What is the eccentricity 2x^2+y^2=50 ?
The eccentricity 2x^2+y^2=50 is 1/(sqrt(2))