What is the eccentricity (x^2)/(27)-(y^2)/(360)=1 ?

The eccentricity (x^2)/(27)-(y^2)/(360)=1 is sqrt(43/3)

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eccentricity (x^2)/(27)-(y^2)/(360)=1

eccentricity

\frac{x ^{2}}{27} - \frac{y ^{2}}{360} = 1

\frac{43}{3}

Solution steps

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

Calculate Hyperbola properties

\frac{x ^{2}}{27} - \frac{y ^{2}}{360} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 33, b = 610

= \frac{( 3 3 ) ^{2} + ( 6 10 ) ^{2}}{3 3}

Refine

= \frac{43}{3}

9 x^{2} - 4 y^{2} - 54 x - 8 y + 113 = 0

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

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

What is the eccentricity (x^2)/(27)-(y^2)/(360)=1 ?
The eccentricity (x^2)/(27)-(y^2)/(360)=1 is sqrt(43/3)