What is the eccentricity 25x^2+56476x-25y^2-3y=48838 ?

The eccentricity 25x^2+56476x-25y^2-3y=48838 is square root of 2

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eccentricity 25x^2+56476x-25y^2-3y=48838

eccentricity

25 x^{2} + 56476 x - 25 y^{2} - 3 y = 48838

2

Solution steps

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

Calculate Hyperbola properties

25 x^{2} + 56476 x - 25 y^{2} - 3 y = 48838 :

Right-left Hyperbola with

(h, k) = (- \frac{28238}{25}, - \frac{3}{50}), a = \frac{3194422367}{50}, b = \frac{3194422367}{50}

= \frac{( \frac{3194422367}{50} ) ^{2} + ( \frac{3194422367}{50} ) ^{2}}{\frac{3194422367}{50}}

Refine

= 2

\frac{x ^{2}}{25} - \frac{y ^{2}}{9} = 1

\frac{x ^{2}}{40} - \frac{y ^{2}}{174} = 1

9 x^{2} - 4 y^{2} - 36 = 0

\frac{x ^{2}}{49} - \frac{y ^{2}}{16} = 1

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

What is the eccentricity 25x^2+56476x-25y^2-3y=48838 ?
The eccentricity 25x^2+56476x-25y^2-3y=48838 is square root of 2