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

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

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

eccentricity

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

\frac{13}{2}

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

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

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

Refine

= \frac{13}{2}

25 x^{2} + 56476 x - 25 y^{2} - 3 y = 48838

\frac{x ^{2}}{25} - \frac{y ^{2}}{9} = 1

\frac{x ^{2}}{40} - \frac{y ^{2}}{174} = 1

9 x^{2} - 4 y^{2} - 36 = 0

\frac{x ^{2}}{49} - \frac{y ^{2}}{16} = 1

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