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

The eccentricity 9x^2-16y^2=144 is 5/4

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

eccentricity

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

\frac{5}{4}

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

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

Refine

= \frac{5}{4}

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

9 y^{2} - 49 x^{2} = 441

9 x^{2} - 18 x - 16 y^{2} - 64 y = 199

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

x^{2} - y^{2} = 3

What is the eccentricity 9x^2-16y^2=144 ?
The eccentricity 9x^2-16y^2=144 is 5/4