What is 25x^2-64(y-6)^2=1600 ?

The solution to 25x^2-64(y-6)^2=1600 is Hyperbola with (h,k)=(0,6),a=8,b=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

25x^2-64(y-6)^2=1600

25 x^{2} - 64 (y - 6)^{2} = 1600

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

Solution steps

25 x^{2} - 64 (y - 6)^{2} = 1600

Rewrite

25 x^{2} - 64 (y - 6)^{2} = 1600

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{( x + 4 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{16} = 1

x^{2} - 4 y^{2} \geq 4

x^{2} - y^{2} = 121

5 y^{2} + 24 y + 16 - 4 x^{2} = 0

- 12 x^{2} + 9 y^{2} + 24 x - 6 y + 9 = 0

What is 25x^2-64(y-6)^2=1600 ?
The solution to 25x^2-64(y-6)^2=1600 is Hyperbola with (h,k)=(0,6),a=8,b=5