What is 16x^2-9y^2-144=0 ?

The solution to 16x^2-9y^2-144=0 is Hyperbola with (h,k)=(0,0),a=3,b=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

16x^2-9y^2-144=0

16 x^{2} - 9 y^{2} - 144 = 0

(h, k) = (0, 0), a = 3, b = 4

Solution steps

16 x^{2} - 9 y^{2} - 144 = 0

Rewrite

16 x^{2} - 9 y^{2} - 144 = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} - \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 4

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

\frac{( y - 7 ) ^{2}}{64} - \frac{( x - 3 ) ^{2}}{16} = 1

4 y^{2} - 9 x^{2} - 36 x + 8 y - 68 = 0

x^{2} - y^{2} = 7

2 x^{2} - 8 y^{2} - 12 = 0

What is 16x^2-9y^2-144=0 ?
The solution to 16x^2-9y^2-144=0 is Hyperbola with (h,k)=(0,0),a=3,b=4