What is the eccentricity 14x^2+8y^2=112 ?

The eccentricity 14x^2+8y^2=112 is sqrt(3/7)

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eccentricity 14x^2+8y^2=112

eccentricity

14 x^{2} + 8 y^{2} = 112

\frac{3}{7}

Solution steps

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

Calculate ellipse properties

14 x^{2} + 8 y^{2} = 112 :

Ellipse with center

(h, k) = (0, 0), b = 14, a = 22

= \frac{( 14 ) ^{2} - ( 2 2 ) ^{2}}{14}

\frac{( 14 ) ^{2} - ( 2 2 ) ^{2}}{14} = \frac{3}{7}

= \frac{3}{7}

\frac{x ^{2}}{16} + \frac{y ^{2}}{80} = 1

2 x^{2} + y^{2} = 50

4 x^{2} + 3 y^{2} + 8 x - 24 y + 51 = 0

x^{2} + y^{2} + 6 x - 4 y - 3 = 0

\frac{x ^{2}}{25} + \frac{y ^{2}}{36} = 1

What is the eccentricity 14x^2+8y^2=112 ?
The eccentricity 14x^2+8y^2=112 is sqrt(3/7)