What is the eccentricity 25x^2-12y+y^2-26y=-11 ?

The eccentricity 25x^2-12y+y^2-26y=-11 is (2sqrt(6))/5

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eccentricity 25x^2-12y+y^2-26y=-11

eccentricity

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

\frac{2 6}{5}

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

(h, k) = (0, 19), b = 514, a = 14

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

\frac{( 5 14 ) ^{2} - ( 14 ) ^{2}}{5 14} = \frac{2 6}{5}

= \frac{2 6}{5}

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

6 x^{2} - 12 x + 54 y^{2} + 108 y - 426 = 0

What is the eccentricity 25x^2-12y+y^2-26y=-11 ?
The eccentricity 25x^2-12y+y^2-26y=-11 is (2sqrt(6))/5