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

The eccentricity 36x^2+y^2=36 is (sqrt(35))/6

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eccentricity 36x^2+y^2=36

eccentricity

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

\frac{35}{6}

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

(h, k) = (0, 0), b = 6, a = 1

= \frac{6 ^{2} - 1 ^{2}}{6}

\frac{6 ^{2} - 1 ^{2}}{6} = \frac{35}{6}

= \frac{35}{6}

x^{2} - 4 x + y^{2} + 6 y - 12 = 0

\frac{x ^{2}}{16} + \frac{y ^{2}}{4} = 1

x^{2} = - 4 y

y^{2} = 4 - x^{2}

\frac{x ^{2}}{4} - \frac{y ^{2}}{4} = 1

What is the eccentricity 36x^2+y^2=36 ?
The eccentricity 36x^2+y^2=36 is (sqrt(35))/6