What is the eccentricity 4x^2+49y^2=196 ?

The eccentricity 4x^2+49y^2=196 is (3sqrt(5))/7

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eccentricity 4x^2+49y^2=196

eccentricity

\frac{3 5}{7}

Decimal

0.95831 \dots

Solution steps

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

Calculate ellipse properties

4 x^{2} + 49 y^{2} = 196 :

Ellipse with center

(h, k) = (0, 0), a = 7, b = 2

= \frac{7 ^{2} - 2 ^{2}}{7}

\frac{7 ^{2} - 2 ^{2}}{7} = \frac{3 5}{7}

= \frac{3 5}{7}

What is the eccentricity 4x^2+49y^2=196 ?
The eccentricity 4x^2+49y^2=196 is (3sqrt(5))/7