What is the eccentricity 6x^2+10y^2=60 ?

The eccentricity 6x^2+10y^2=60 is sqrt(2/5)

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eccentricity 6x^2+10y^2=60

eccentricity

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

\frac{2}{5}

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

(h, k) = (0, 0), a = 10, b = 6

= \frac{( 10 ) ^{2} - ( 6 ) ^{2}}{10}

\frac{( 10 ) ^{2} - ( 6 ) ^{2}}{10} = \frac{2}{5}

= \frac{2}{5}

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

6 x^{2} + 9 y^{2} = 54

What is the eccentricity 6x^2+10y^2=60 ?
The eccentricity 6x^2+10y^2=60 is sqrt(2/5)