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

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

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eccentricity 16x^2+y^2=16

eccentricity

16 x^{2} + y^{2} = 16

\frac{15}{4}

Solution steps

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

Calculate ellipse properties

16 x^{2} + y^{2} = 16 :

Ellipse with center

(h, k) = (0, 0), b = 4, a = 1

= \frac{4 ^{2} - 1 ^{2}}{4}

\frac{4 ^{2} - 1 ^{2}}{4} = \frac{15}{4}

= \frac{15}{4}

y = x^{2} - 6 x

x^{2} + 4 y^{2} - 6 x - 16 y + 21 = 0

\frac{x ^{2}}{25} - \frac{y ^{2}}{16} = 1

y^{2} + 12 x - 2 y - 11 = 0

x^{2} + 3 y^{2} = 1

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