What is the eccentricity x^2+16y^2-64=0 ?

The eccentricity x^2+16y^2-64=0 is (sqrt(15))/4

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eccentricity x^2+16y^2-64=0

eccentricity

\frac{15}{4}

Decimal

0.96824 \dots

Solution steps

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

Calculate ellipse properties

x^{2} + 16 y^{2} - 64 = 0 :

Ellipse with center

(h, k) = (0, 0), a = 8, b = 2

= \frac{8 ^{2} - 2 ^{2}}{8}

\frac{8 ^{2} - 2 ^{2}}{8} = \frac{15}{4}

= \frac{15}{4}

What is the eccentricity x^2+16y^2-64=0 ?
The eccentricity x^2+16y^2-64=0 is (sqrt(15))/4