What is the eccentricity 13x^2+49y^2=637 ?

The eccentricity 13x^2+49y^2=637 is 6/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

eccentricity 13x^2+49y^2=637

eccentricity

13 x^{2} + 49 y^{2} = 637

\frac{6}{7}

Solution steps

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

Calculate ellipse properties

13 x^{2} + 49 y^{2} = 637 :

Ellipse with center

(h, k) = (0, 0), a = 7, b = 13

= \frac{7 ^{2} - ( 13 ) ^{2}}{7}

\frac{7 ^{2} - ( 13 ) ^{2}}{7} = \frac{6}{7}

= \frac{6}{7}

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

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

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

\frac{( y + 3 ) ^{2}}{9} - \frac{( x - 2 ) ^{2}}{16} = 1

y^{2} - 10 y - 12 x + 37 = 0

What is the eccentricity 13x^2+49y^2=637 ?
The eccentricity 13x^2+49y^2=637 is 6/7