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

\frac{2}{5}

Decimal

0.63245 \dots

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}

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