What is the eccentricity 25x^2-36y^2=900 ?

The eccentricity 25x^2-36y^2=900 is (sqrt(61))/6

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eccentricity 25x^2-36y^2=900

eccentricity

\frac{61}{6}

Decimal

1.30170 \dots

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 6, b = 5

= \frac{6 ^{2} + 5 ^{2}}{6}

Refine

= \frac{61}{6}

What is the eccentricity 25x^2-36y^2=900 ?
The eccentricity 25x^2-36y^2=900 is (sqrt(61))/6