What is the eccentricity 14x^2+9y^2=126 ?

The eccentricity 14x^2+9y^2=126 is sqrt(5/14)

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eccentricity 14x^2+9y^2=126

eccentricity

14 x^{2} + 9 y^{2} = 126

\frac{5}{14}

Solution steps

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

Calculate ellipse properties

14 x^{2} + 9 y^{2} = 126 :

Ellipse with center

(h, k) = (0, 0), b = 14, a = 3

= \frac{( 14 ) ^{2} - 3 ^{2}}{14}

\frac{( 14 ) ^{2} - 3 ^{2}}{14} = \frac{5}{14}

= \frac{5}{14}

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

\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

What is the eccentricity 14x^2+9y^2=126 ?
The eccentricity 14x^2+9y^2=126 is sqrt(5/14)