What is the eccentricity 9x^2-4y^2-18x-16y-43=0 ?

The eccentricity 9x^2-4y^2-18x-16y-43=0 is (sqrt(13))/2

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eccentricity 9x^2-4y^2-18x-16y-43=0

eccentricity

9 x^{2} - 4 y^{2} - 18 x - 16 y - 43 = 0

\frac{13}{2}

Solution steps

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

Calculate Hyperbola properties

9 x^{2} - 4 y^{2} - 18 x - 16 y - 43 = 0 :

Right-left Hyperbola with

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

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

Refine

= \frac{13}{2}

225 x^{2} - 64 y^{2} = 14400

\frac{x ^{2}}{4} - \frac{y ^{2}}{6} = - 1

x^{2} + y^{2} - 2 x + 8 y - 47 = 0

\frac{( x ^{2} )}{73} - \frac{( y ^{2} )}{19} = 1

p (x) = 21 + 24 x + 6 x^{2}

What is the eccentricity 9x^2-4y^2-18x-16y-43=0 ?
The eccentricity 9x^2-4y^2-18x-16y-43=0 is (sqrt(13))/2