What is the eccentricity 9x^2+4y^2=36 ?

The eccentricity 9x^2+4y^2=36 is (sqrt(5))/3

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eccentricity 9x^2+4y^2=36

eccentricity

9 x^{2} + 4 y^{2} = 36

\frac{5}{3}

Solution steps

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

Calculate ellipse properties

9 x^{2} + 4 y^{2} = 36 :

Ellipse with center

(h, k) = (0, 0), b = 3, a = 2

= \frac{3 ^{2} - 2 ^{2}}{3}

\frac{3 ^{2} - 2 ^{2}}{3} = \frac{5}{3}

= \frac{5}{3}

9 X^{2} + 4 Y^{2} = 36

41 x^{2} + 16 y^{2} + 246 x - 192 y + 289 = 0

\frac{x ^{2}}{9} + \frac{y ^{2}}{25} = 1

25 x^{2} + 16 y^{2} = 400

x^{2} + 4 y^{2} - 6 x - 16 y + 21 = 0

What is the eccentricity 9x^2+4y^2=36 ?
The eccentricity 9x^2+4y^2=36 is (sqrt(5))/3