What is the eccentricity 9x^2-4y^2=36 ?

The eccentricity 9x^2-4y^2=36 is (sqrt(13))/2

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eccentricity 9x^2-4y^2=36

eccentricity

9 x^{2} - 4 y^{2} = 36

\frac{13}{2}

Solution steps

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

Calculate Hyperbola properties

9 x^{2} - 4 y^{2} = 36 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 2, b = 3

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

Refine

= \frac{13}{2}

y^{2} - 4 x^{2} + 4 x - 2 y - 4 = 0

16 x^{2} - 4 y^{2} = 49

16 x^{2} - 25 y^{2} = 64

25 x^{2} - 9 y^{2} = 225

9 x^{2} - 16 y^{2} = 64

What is the eccentricity 9x^2-4y^2=36 ?
The eccentricity 9x^2-4y^2=36 is (sqrt(13))/2