What is 9x^2-y^2-72x+8y+119=0 ?

The solution to 9x^2-y^2-72x+8y+119=0 is Hyperbola with (h,k)=(4,4),a=1,b=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2-y^2-72x+8y+119=0

9 x^{2} - y^{2} - 72 x + 8 y + 119 = 0

(h, k) = (4, 4), a = 1, b = 3

Solution steps

9 x^{2} - y^{2} - 72 x + 8 y + 119 = 0

Rewrite

9 x^{2} - y^{2} - 72 x + 8 y + 119 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (4, 4), a = 1, b = 3

9 x^{2} - 4 y^{2} + 18 x - 27 = 0

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

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

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

4 x^{2} - 25 y^{2} - 40 x - 150 y - 225 = 0

What is 9x^2-y^2-72x+8y+119=0 ?
The solution to 9x^2-y^2-72x+8y+119=0 is Hyperbola with (h,k)=(4,4),a=1,b=3