What is the eccentricity 10x^2+5y^2=50 ?

The eccentricity 10x^2+5y^2=50 is 1/(sqrt(2))

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eccentricity 10x^2+5y^2=50

eccentricity

\frac{1}{2}

Decimal

0.70710 \dots

Solution steps

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

Calculate ellipse properties

10 x^{2} + 5 y^{2} = 50 :

Ellipse with center

(h, k) = (0, 0), b = 10, a = 5

= \frac{( 10 ) ^{2} - ( 5 ) ^{2}}{10}

\frac{( 10 ) ^{2} - ( 5 ) ^{2}}{10} = \frac{1}{2}

= \frac{1}{2}

What is the eccentricity 10x^2+5y^2=50 ?
The eccentricity 10x^2+5y^2=50 is 1/(sqrt(2))