What is 25y^2-36(x-8)^2=900 ?

The solution to 25y^2-36(x-8)^2=900 is Hyperbola with (h,k)=(8,0),a=6,b=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

25y^2-36(x-8)^2=900

25 y^{2} - 36 (x - 8)^{2} = 900

(h, k) = (8, 0), a = 6, b = 5

Solution steps

25 y^{2} - 36 (x - 8)^{2} = 900

Rewrite

25 y^{2} - 36 (x - 8)^{2} = 900

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{6 ^{2}} - \frac{( x - 8 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (8, 0), a = 6, b = 5

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

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

\frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

4 x^{2} + 9 y^{2} = 36

3 x^{2} + 6 y^{2} = 18

What is 25y^2-36(x-8)^2=900 ?
The solution to 25y^2-36(x-8)^2=900 is Hyperbola with (h,k)=(8,0),a=6,b=5