What is the eccentricity (x^2)/(27)-(y^2)/(72)=1 ?

The eccentricity (x^2)/(27)-(y^2)/(72)=1 is sqrt(11/3)

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eccentricity (x^2)/(27)-(y^2)/(72)=1

eccentricity

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

\frac{11}{3}

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 33, b = 62

= \frac{( 3 3 ) ^{2} + ( 6 2 ) ^{2}}{3 3}

Refine

= \frac{11}{3}

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

25 x^{2} - 36 y^{2} = 900

\frac{x ^{2}}{16} - \frac{y ^{2}}{81} = 1

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

x^{2} - y^{2} - 4 x - 6 y - 14 = 0

What is the eccentricity (x^2)/(27)-(y^2)/(72)=1 ?
The eccentricity (x^2)/(27)-(y^2)/(72)=1 is sqrt(11/3)