What is the foci-x^2+(y^2)/(20)=1 ?

The foci-x^2+(y^2)/(20)=1 is (0,sqrt(21)),(0,-sqrt(21))

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)/(20)=1

foci

- x^{2} + \frac{y ^{2}}{20} = 1

(0, 21), (0, - 21)

Solution steps

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

Calculate Hyperbola properties

- x^{2} + \frac{y ^{2}}{20} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 25, b = 1

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

Compute

c :

c = (25)^{2} + 1^{2} : 21

(0, 0 + 21), (0, 0 - 21)

Refine

(0, 21), (0, - 21)

x^{2} - 16 y^{2} = 144

\frac{y ^{2}}{1 0 ^{2}} - \frac{x ^{2}}{2 4 ^{2}} = 1

\frac{y ^{2}}{18} - \frac{x ^{2}}{2} = 1

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

\frac{( X - 8 ) ^{2}}{9} - \frac{( Y + 3 ) ^{2}}{16} = 1

What is the foci-x^2+(y^2)/(20)=1 ?
The foci-x^2+(y^2)/(20)=1 is (0,sqrt(21)),(0,-sqrt(21))