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

The eccentricity 4x^2-9y^2=4 is (sqrt(13))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

eccentricity 4x^2-9y^2=4

eccentricity

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

\frac{13}{3}

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 1, b = \frac{2}{3}

= \frac{1 ^{2} + ( \frac{2}{3} ) ^{2}}{1}

Refine

= \frac{13}{3}

9 x^{2} - 4 y^{2} + 54 x + 16 y + 29 = 0

36 x^{2} - 49 y^{2} = 1

\frac{y ^{2}}{4} - \frac{x ^{2}}{9} = 1

\frac{y ^{2}}{9} - \frac{x ^{2}}{4} = 1

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

What is the eccentricity 4x^2-9y^2=4 ?
The eccentricity 4x^2-9y^2=4 is (sqrt(13))/3