What is the eccentricity x^2-3y^2-2x-6y+7=0 ?

The eccentricity x^2-3y^2-2x-6y+7=0 is 2

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eccentricity x^2-3y^2-2x-6y+7=0

eccentricity

x^{2} - 3 y^{2} - 2 x - 6 y + 7 = 0

2

Solution steps

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

Calculate Hyperbola properties

x^{2} - 3 y^{2} - 2 x - 6 y + 7 = 0 :

Up-down Hyperbola with

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

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

Refine

= 2

\frac{x ^{2}}{16} - \frac{y ^{2}}{64} = 1

\frac{x ^{2}}{16} - \frac{y ^{2}}{12} = 1

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

\frac{x ^{2}}{4} - \frac{( y + 1 ) ^{2}}{16} = 1

x^{2} - 4 y^{2} - 2 x + 16 y = 20

What is the eccentricity x^2-3y^2-2x-6y+7=0 ?
The eccentricity x^2-3y^2-2x-6y+7=0 is 2