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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

eccentricity x^2+9y^2=9

eccentricity

x^{2} + 9 y^{2} = 9

\frac{2 2}{3}

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

(h, k) = (0, 0), a = 3, b = 1

= \frac{3 ^{2} - 1 ^{2}}{3}

\frac{3 ^{2} - 1 ^{2}}{3} = \frac{2 2}{3}

= \frac{2 2}{3}

4 x^{2} + 9 y^{2} = 13

4 - x^{2} - 4 y^{2} > 0

36 x^{2} + 16 y^{2} - 180 x + 96 y - 207 = 0

2 x^{2} + y^{2} = 1

\frac{8 x ^{2}}{1} + \frac{14 y ^{2}}{1} = 122

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