What is the eccentricity (x^2)/(16)-(y^2)/(81)=1 ?

The eccentricity (x^2)/(16)-(y^2)/(81)=1 is (sqrt(97))/4

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eccentricity (x^2)/(16)-(y^2)/(81)=1

eccentricity

\frac{97}{4}

Decimal

2.46221 \dots

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 4, b = 9

= \frac{4 ^{2} + 9 ^{2}}{4}

Refine

= \frac{97}{4}

What is the eccentricity (x^2)/(16)-(y^2)/(81)=1 ?
The eccentricity (x^2)/(16)-(y^2)/(81)=1 is (sqrt(97))/4