What is the eccentricity x^2+4y^2-2x-16y+13=0 ?

The eccentricity x^2+4y^2-2x-16y+13=0 is (sqrt(3))/2

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eccentricity x^2+4y^2-2x-16y+13=0

eccentricity

\frac{3}{2}

Decimal

0.86602 \dots

Solution steps

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

Calculate ellipse properties

x^{2} + 4 y^{2} - 2 x - 16 y + 13 = 0 :

Ellipse with center

(h, k) = (1, 2), a = 2, b = 1

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

\frac{2 ^{2} - 1 ^{2}}{2} = \frac{3}{2}

= \frac{3}{2}

What is the eccentricity x^2+4y^2-2x-16y+13=0 ?
The eccentricity x^2+4y^2-2x-16y+13=0 is (sqrt(3))/2