What is the eccentricity 9x^2-y^2-36x-6y+18=0 ?

The eccentricity 9x^2-y^2-36x-6y+18=0 is square root of 10

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

eccentricity

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

10

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

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

Refine

= 10

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

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

\frac{x ^{2}}{9} - \frac{( y - 2 ) ^{2}}{4} = 1

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

- 9 x^{2} + y^{2} - 72 x - 153 = 0

What is the eccentricity 9x^2-y^2-36x-6y+18=0 ?
The eccentricity 9x^2-y^2-36x-6y+18=0 is square root of 10