What is the eccentricity 16x^2-9y^2=144 ?

The eccentricity 16x^2-9y^2=144 is 5/3

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eccentricity 16x^2-9y^2=144

eccentricity

16 x^{2} - 9 y^{2} = 144

\frac{5}{3}

Solution steps

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

Calculate Hyperbola properties

16 x^{2} - 9 y^{2} = 144 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 3, b = 4

= \frac{3 ^{2} + 4 ^{2}}{3}

Refine

= \frac{5}{3}

4 x^{2} - y^{2} - 24 x - 4 y + 28 = 0

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0

4 x^{2} - 25 y^{2} + 100 y = 200

9 y^{2} - 16 x^{2} = 144

\frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

What is the eccentricity 16x^2-9y^2=144 ?
The eccentricity 16x^2-9y^2=144 is 5/3