What is the eccentricity x^2-4y^2=16 ?

The eccentricity x^2-4y^2=16 is (sqrt(5))/2

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eccentricity x^2-4y^2=16

eccentricity

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

\frac{5}{2}

Solution steps

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

Calculate Hyperbola properties

x^{2} - 4 y^{2} = 16 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 4, b = 2

= \frac{4 ^{2} + 2 ^{2}}{4}

Refine

= \frac{5}{2}

2 x^{2} - 4 y^{2} = 1

9 x^{2} - 4 y^{2} - 18 x - 16 y - 43 = 0

225 x^{2} - 64 y^{2} = 14400

\frac{x ^{2}}{4} - \frac{y ^{2}}{6} = - 1

x^{2} + y^{2} - 2 x + 8 y - 47 = 0

What is the eccentricity x^2-4y^2=16 ?
The eccentricity x^2-4y^2=16 is (sqrt(5))/2