What is the eccentricity 9x^2+9y^2+18x-18y+14=0 ?

The eccentricity 9x^2+9y^2+18x-18y+14=0 is 0

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eccentricity 9x^2+9y^2+18x-18y+14=0

eccentricity

9 x^{2} + 9 y^{2} + 18 x - 18 y + 14 = 0

0

Solution steps

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

Calculate ellipse properties

9 x^{2} + 9 y^{2} + 18 x - 18 y + 14 = 0 :

Ellipse with center

(h, k) = (- 1, 1), b = \frac{2}{3}, a = \frac{2}{3}

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

\frac{( \frac{2}{3} ) ^{2} - ( \frac{2}{3} ) ^{2}}{\frac{2}{3}} = 0

= 0

x^{2} = 8 y

y^{2} + 4 x = 7

\frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

9 x^{2} - 16 y^{2} = 144

\frac{y ^{2}}{16} - \frac{x ^{2}}{9} = 1

What is the eccentricity 9x^2+9y^2+18x-18y+14=0 ?
The eccentricity 9x^2+9y^2+18x-18y+14=0 is 0