What is the eccentricity 25x^2-9y^2=225 ?

The eccentricity 25x^2-9y^2=225 is (sqrt(34))/3

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eccentricity 25x^2-9y^2=225

eccentricity

25 x^{2} - 9 y^{2} = 225

\frac{34}{3}

Solution steps

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

Calculate Hyperbola properties

25 x^{2} - 9 y^{2} = 225 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 3, b = 5

= \frac{3 ^{2} + 5 ^{2}}{3}

Refine

= \frac{34}{3}

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

\frac{x ^{2}}{45} - \frac{y ^{2}}{360} = 1

\frac{x ^{2}}{81} - \frac{y ^{2}}{9} = 1

- \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

\frac{y ^{2}}{64} - \frac{x ^{2}}{36} = 1

What is the eccentricity 25x^2-9y^2=225 ?
The eccentricity 25x^2-9y^2=225 is (sqrt(34))/3