What is the eccentricity 9y^2-49x^2=441 ?

The eccentricity 9y^2-49x^2=441 is (sqrt(58))/7

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eccentricity 9y^2-49x^2=441

eccentricity

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

\frac{58}{7}

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

(h, k) = (0, 0), a = 7, b = 3

= \frac{7 ^{2} + 3 ^{2}}{7}

Refine

= \frac{58}{7}

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

\frac{y ^{2}}{16} - \frac{x ^{2}}{25} = 1

4 x^{2} - 9 y^{2} = 36

What is the eccentricity 9y^2-49x^2=441 ?
The eccentricity 9y^2-49x^2=441 is (sqrt(58))/7