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

y^{2} - 4 y - 4 x^{2} + 13 = 0

+ \frac{y ^{2}}{25} - \frac{x ^{2}}{4} = 1

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

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

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

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