What is the eccentricity-x^2+9y^2+4x+54y+68=0 ?

The eccentricity-x^2+9y^2+4x+54y+68=0 is square root of 10

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eccentricity-x^2+9y^2+4x+54y+68=0

eccentricity

- x^{2} + 9 y^{2} + 4 x + 54 y + 68 = 0

10

Solution steps

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

Calculate Hyperbola properties

- x^{2} + 9 y^{2} + 4 x + 54 y + 68 = 0 :

Up-down Hyperbola with

(h, k) = (2, - 3), a = 1, b = 3

= \frac{1 ^{2} + 3 ^{2}}{1}

Refine

= 10

18 x^{2} - 32 y^{2} - 108 y - 128 x - 254 = 0

25 x^{2} + 246 x - 25 y^{2} - 13 y = 233

9 x^{2} - y^{2} - 36 x - 6 y + 18 = 0

- 9 x^{2} + 8 y^{2} + 36 x + 48 y = 36

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

What is the eccentricity-x^2+9y^2+4x+54y+68=0 ?
The eccentricity-x^2+9y^2+4x+54y+68=0 is square root of 10