What is the eccentricity (x^2}{49}-\frac{y^2)/4 =1 ?

The eccentricity (x^2}{49}-\frac{y^2)/4 =1 is (sqrt(53))/7

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eccentricity (x^2}{49}-\frac{y^2)/4 =1

eccentricity

\frac{x ^{2}}{49} - \frac{y ^{2}}{4} = 1

\frac{53}{7}

Solution steps

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

Calculate Hyperbola properties

\frac{x ^{2}}{49} - \frac{y ^{2}}{4} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 7, b = 2

= \frac{7 ^{2} + 2 ^{2}}{7}

Refine

= \frac{53}{7}

9 \cdot x^{2} - 9 \cdot y^{2} = 9

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

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

\frac{x ^{2}}{27} - \frac{y ^{2}}{72} = 1

\frac{x ^{2}}{36} - \frac{y ^{2}}{9} = 1

What is the eccentricity (x^2}{49}-\frac{y^2)/4 =1 ?
The eccentricity (x^2}{49}-\frac{y^2)/4 =1 is (sqrt(53))/7