What is the eccentricity 10x^2+3y^2=30 ?

The eccentricity 10x^2+3y^2=30 is sqrt(7/10)

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eccentricity 10x^2+3y^2=30

eccentricity

10 x^{2} + 3 y^{2} = 30

\frac{7}{10}

Solution steps

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

Calculate ellipse properties

10 x^{2} + 3 y^{2} = 30 :

Ellipse with center

(h, k) = (0, 0), b = 10, a = 3

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

\frac{( 10 ) ^{2} - ( 3 ) ^{2}}{10} = \frac{7}{10}

= \frac{7}{10}

\frac{y ^{2}}{64} + \frac{x ^{2}}{36} = 1

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

3 x^{2} + 12 x + 4 y^{2} - 40 y + 100 = 0

4 x^{2} + 9 y^{2} + 32 x - 18 y + 37 = 0

25 x^{2} + 9 y^{2} = 225

What is the eccentricity 10x^2+3y^2=30 ?
The eccentricity 10x^2+3y^2=30 is sqrt(7/10)