What is x^2-y^2-64=0 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2-y^2-64=0

x^{2} - y^{2} - 64 = 0

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

Solution steps

x^{2} - y^{2} - 64 = 0

Rewrite

x^{2} - y^{2} - 64 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y^{2} - 4 x^{2} - 4 y - 8 x - 4 = 0

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

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

4 x^{2} - 5 y^{2} = 20

x^{2} + (x + 3)^{2} = y^{2}

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