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

\frac{13}{2}

Decimal

1.80277 \dots

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}

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