What is the eccentricity 5x^2+2y^2=50 ?

The eccentricity 5x^2+2y^2=50 is sqrt(3/5)

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eccentricity 5x^2+2y^2=50

eccentricity

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

\frac{3}{5}

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

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

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

\frac{5 ^{2} - ( 10 ) ^{2}}{5} = \frac{3}{5}

= \frac{3}{5}

6 x^{2} + 10 y^{2} = 60

4 x^{2} + 5 y^{2} = 20

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

6 x^{2} - 12 x + 54 y^{2} + 108 y - 426 = 0

\frac{( x - 4 ) ^{2}}{4} + \frac{y ^{2}}{16} = 1

What is the eccentricity 5x^2+2y^2=50 ?
The eccentricity 5x^2+2y^2=50 is sqrt(3/5)