What is the eccentricity x^2-y^2=4 ?

The eccentricity x^2-y^2=4 is square root of 2

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eccentricity x^2-y^2=4

eccentricity

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

2

Solution steps

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

Calculate Hyperbola properties

x^{2} - y^{2} = 4 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 2, b = 2

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

Refine

= 2

f (x) = x^{2} + 5 x + 6

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

\frac{x ^{2}}{36} + \frac{y ^{2}}{25} = 1

x^{2} + y^{2} - 2 y = 0

9 x^{2} - 9 y^{2} + 18 x + 36 y = 63

What is the eccentricity x^2-y^2=4 ?
The eccentricity x^2-y^2=4 is square root of 2