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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

foci x^2-y^2=-4

foci

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

(0, 22), (0, - 22)

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

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

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

Compute

c :

c = 2^{2} + 2^{2} : 22

(0, 0 + 22), (0, 0 - 22)

Refine

(0, 22), (0, - 22)

- 4 x^{2} + y^{2} - 16 x - 52 = 0

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

\frac{( x - 3 ) ^{2}}{16} - \frac{( y + 4 ) ^{2}}{25} = 1

4 x^{2} - 8 y^{2} = 3

\frac{y ^{2}}{1600} - \frac{x ^{2}}{5625} = 1