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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

eccentricity

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

\frac{1}{2}

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}

9 x^{2} + 16 y^{2} - 144 = 0

\frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1

4 x^{2} + 9 y^{2} - 16 x + 18 y = 11

4 x^{2} + 3 y^{2} - 8 x + 18 y + 19 = 0

x^{2} + 4 y^{2} - 6 x + 20 y - 2 = 0

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