What is the eccentricity 3x^2+y^2+18x-2y-8=0 ?

The eccentricity 3x^2+y^2+18x-2y-8=0 is sqrt(2/3)

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eccentricity 3x^2+y^2+18x-2y-8=0

eccentricity

\frac{2}{3}

Decimal

0.81649 \dots

Solution steps

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

Calculate ellipse properties

3 x^{2} + y^{2} + 18 x - 2 y - 8 = 0 :

Ellipse with center

(h, k) = (- 3, 1), b = 6, a = 23

= \frac{6 ^{2} - ( 2 3 ) ^{2}}{6}

\frac{6 ^{2} - ( 2 3 ) ^{2}}{6} = \frac{2}{3}

= \frac{2}{3}

What is the eccentricity 3x^2+y^2+18x-2y-8=0 ?
The eccentricity 3x^2+y^2+18x-2y-8=0 is sqrt(2/3)