What is the eccentricity 9x^2-9y^2=9 ?

The eccentricity 9x^2-9y^2=9 is square root of 2

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eccentricity 9x^2-9y^2=9

eccentricity

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

2

Solution steps

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

Calculate Hyperbola properties

9 x^{2} - 9 y^{2} = 9 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 1, b = 1

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

Refine

= 2

x^{2} - y^{2} - 4 x - 6 y - 14 = 0

\frac{x ^{2}}{144} - \frac{y ^{2}}{81} = 1

4 x^{2} - 9 y^{2} = 4

9 x^{2} - 4 y^{2} + 54 x + 16 y + 29 = 0

36 x^{2} - 49 y^{2} = 1

What is the eccentricity 9x^2-9y^2=9 ?
The eccentricity 9x^2-9y^2=9 is square root of 2