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 - 1)^{2} + (y - 2)^{2} = 30

\frac{x ^{2}}{16} + \frac{y ^{2}}{7} = 1

(\frac{x - 1}{4})^{2} + (\frac{y + 2}{3})^{2} = 1

4 x^{2} + 9 y^{2} - 8 x - 36 y + 4 = 0

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

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