What is the eccentricity 25x^2+246x-25y^2-13y=233 ?

The eccentricity 25x^2+246x-25y^2-13y=233 is square root of 2

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eccentricity 25x^2+246x-25y^2-13y=233

eccentricity

25 x^{2} + 246 x - 25 y^{2} - 13 y = 233

2

Solution steps

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

Calculate Hyperbola properties

25 x^{2} + 246 x - 25 y^{2} - 13 y = 233 :

Right-left Hyperbola with

(h, k) = (- \frac{123}{25}, - \frac{13}{50}), a = \frac{83647}{50}, b = \frac{83647}{50}

= \frac{( \frac{83647}{50} ) ^{2} + ( \frac{83647}{50} ) ^{2}}{\frac{83647}{50}}

Refine

= 2

9 x^{2} - y^{2} - 36 x - 6 y + 18 = 0

- 9 x^{2} + 8 y^{2} + 36 x + 48 y = 36

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

\frac{x ^{2}}{9} - \frac{( y - 2 ) ^{2}}{4} = 1

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

What is the eccentricity 25x^2+246x-25y^2-13y=233 ?
The eccentricity 25x^2+246x-25y^2-13y=233 is square root of 2