What is the eccentricity 4xx+9yy=36 ?

The eccentricity 4xx+9yy=36 is (sqrt(5))/3

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eccentricity 4xx+9yy=36

eccentricity

4 xx + 9 yy = 36

\frac{5}{3}

Solution steps

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

Calculate ellipse properties

4 xx + 9 yy = 36 :

Ellipse with center

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

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

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

= \frac{5}{3}

25 x^{2} - 12 y + y^{2} - 26 y = - 11

5 x^{2} + 2 y^{2} = 50

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

4 x^{2} + 5 y^{2} = 20

x^{2} + y^{2} - 2 y = 0

What is the eccentricity 4xx+9yy=36 ?
The eccentricity 4xx+9yy=36 is (sqrt(5))/3