What is the foci x^2-4y^2=4 ?

The foci x^2-4y^2=4 is (sqrt(5),0),(-sqrt(5),0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

foci x^2-4y^2=4

foci

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

(5, 0), (- 5, 0)

Solution steps

(h + c, k), (h - c, k)

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 2, b = 1

(0 + c, 0), (0 - c, 0)

Compute

c :

c = 2^{2} + 1^{2} : 5

(0 + 5, 0), (0 - 5, 0)

Refine

(5, 0), (- 5, 0)

\frac{x ^{2}}{25} - \frac{y ^{2}}{49} = 1

\frac{x ^{2}}{4} - \frac{y ^{2}}{25} = 1

\frac{y ^{2}}{1} - \frac{x ^{2}}{15} = 1

\frac{( x + 4 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{25} = 1

9 (x - 1)^{2} - 16 (y + 2)^{2} = 144