What is the eccentricity 16x^2-4y^2=49 ?

The eccentricity 16x^2-4y^2=49 is square root of 5

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eccentricity 16x^2-4y^2=49

eccentricity

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

5

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = \frac{7}{4}, b = \frac{7}{2}

= \frac{( \frac{7}{4} ) ^{2} + ( \frac{7}{2} ) ^{2}}{\frac{7}{4}}

Refine

= 5

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

25 x^{2} - 9 y^{2} = 225

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

\frac{x ^{2}}{45} - \frac{y ^{2}}{360} = 1

\frac{x ^{2}}{81} - \frac{y ^{2}}{9} = 1

What is the eccentricity 16x^2-4y^2=49 ?
The eccentricity 16x^2-4y^2=49 is square root of 5