What is 16x^2-9y^2=576 ?

The solution to 16x^2-9y^2=576 is Hyperbola with (h,k)=(0,0),a=6,b=8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

16x^2-9y^2=576

16 x^{2} - 9 y^{2} = 576

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

Solution steps

16 x^{2} - 9 y^{2} = 576

Rewrite

16 x^{2} - 9 y^{2} = 576

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} + 1 = 2 y^{2}

4 6^{2} x^{2} = 4 0^{2} y^{2} + 1600

4 x^{2} - 45 y^{2} - 180 = 0

36 x^{(2)} - 16 y^{(2)} - 288 x + 160 y - 400 = 0

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

What is 16x^2-9y^2=576 ?
The solution to 16x^2-9y^2=576 is Hyperbola with (h,k)=(0,0),a=6,b=8