What is the eccentricity 4y^2-25x^2=100 ?

The eccentricity 4y^2-25x^2=100 is (sqrt(29))/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

eccentricity 4y^2-25x^2=100

eccentricity

4 y^{2} - 25 x^{2} = 100

\frac{29}{5}

Solution steps

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

Calculate Hyperbola properties

4 y^{2} - 25 x^{2} = 100 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 5, b = 2

= \frac{5 ^{2} + 2 ^{2}}{5}

Refine

= \frac{29}{5}

16 x^{2} - 9 y^{2} + 96 x - 72 y + 144 = 0

\frac{( x + 5 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{9} = 1

4 x^{2} - 9 y^{2} + 32 x + 36 y + 64 = 0

9 x^{2} - 16 y^{2} = 4

\frac{x ^{2}}{27} - \frac{y ^{2}}{360} = 1

What is the eccentricity 4y^2-25x^2=100 ?
The eccentricity 4y^2-25x^2=100 is (sqrt(29))/5