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

The eccentricity 4x^2-y^2=16 is square root of 5

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eccentricity 4x^2-y^2=16

eccentricity

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

5

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

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

Refine

= 5

16 x^{2} - 96 x - y^{2} - 2 y + 139 = 0

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

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

16 x^{2} - 4 y^{2} = 49

16 x^{2} - 25 y^{2} = 64

What is the eccentricity 4x^2-y^2=16 ?
The eccentricity 4x^2-y^2=16 is square root of 5