What is the eccentricity x^2+4y^2=46 ?

The eccentricity x^2+4y^2=46 is (sqrt(3))/2

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eccentricity x^2+4y^2=46

eccentricity

\frac{3}{2}

Decimal

0.86602 \dots

Solution steps

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

Calculate ellipse properties

x^{2} + 4 y^{2} = 46 :

Ellipse with center

(h, k) = (0, 0), a = 46, b = \frac{23}{2}

= \frac{( 46 ) ^{2} - ( \frac{23}{2} ) ^{2}}{46}

\frac{( 46 ) ^{2} - ( \frac{23}{2} ) ^{2}}{46} = \frac{3}{2}

= \frac{3}{2}

What is the eccentricity x^2+4y^2=46 ?
The eccentricity x^2+4y^2=46 is (sqrt(3))/2