What is the eccentricity 9y^2-x^2+2x+54y+62=0 ?

The eccentricity 9y^2-x^2+2x+54y+62=0 is square root of 10

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eccentricity 9y^2-x^2+2x+54y+62=0

eccentricity

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0

10

Solution steps

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

Calculate Hyperbola properties

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0 :

Up-down Hyperbola with

(h, k) = (1, - 3), a = 2, b = 32

= \frac{( 2 ) ^{2} + ( 3 2 ) ^{2}}{2}

Refine

= 10

4 x^{2} - 25 y^{2} + 100 y = 200

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

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

\frac{y ^{2}}{25} - \frac{x ^{2}}{81} = 1

- x^{2} + 9 y^{2} + 4 x + 54 y + 68 = 0

What is the eccentricity 9y^2-x^2+2x+54y+62=0 ?
The eccentricity 9y^2-x^2+2x+54y+62=0 is square root of 10