What is the eccentricity 9x^2+7y^2=63 ?

The eccentricity 9x^2+7y^2=63 is (sqrt(2))/3

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eccentricity 9x^2+7y^2=63

eccentricity

\frac{2}{3}

Decimal

0.47140 \dots

Solution steps

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

Calculate ellipse properties

9 x^{2} + 7 y^{2} = 63 :

Ellipse with center

(h, k) = (0, 0), b = 3, a = 7

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

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

= \frac{2}{3}

What is the eccentricity 9x^2+7y^2=63 ?
The eccentricity 9x^2+7y^2=63 is (sqrt(2))/3