What is the eccentricity+9x^2+4y^2=36 ?

The eccentricity+9x^2+4y^2=36 is (sqrt(5))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

eccentricity+9x^2+4y^2=36

eccentricity

+ 9 x^{2} + 4 y^{2} = 36

\frac{5}{3}

Solution steps

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

Calculate ellipse properties

+ 9 x^{2} + 4 y^{2} = 36 :

Ellipse with center

(h, k) = (0, 0), b = 3, a = 2

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

\frac{3 ^{2} - 2 ^{2}}{3} = \frac{5}{3}

= \frac{5}{3}

9 x^{2} + 4 y^{2} + 54 x - 8 y + 49 = 0

(\frac{x}{8})^{2} + (\frac{y}{6})^{2} = 1

4 x^{2} + 9 y^{2} - 8 x - 32 = 0

9 x^{2} + 6 y^{2} = 54

3 x^{2} + 10 y^{2} = 30

What is the eccentricity+9x^2+4y^2=36 ?
The eccentricity+9x^2+4y^2=36 is (sqrt(5))/3