What is 4x^2-y^2-24x-8y-44=0 ?

The solution to 4x^2-y^2-24x-8y-44=0 is Hyperbola with (h,k)=(3,-4),a=4,b=8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^2-y^2-24x-8y-44=0

4 x^{2} - y^{2} - 24 x - 8 y - 44 = 0

(h, k) = (3, - 4), a = 4, b = 8

Solution steps

4 x^{2} - y^{2} - 24 x - 8 y - 44 = 0

Rewrite

4 x^{2} - y^{2} - 24 x - 8 y - 44 = 0

in the form of a standard hyperbola equation

\frac{( x - 3 ) ^{2}}{4 ^{2}} - \frac{( y - ( - 4 ) ) ^{2}}{8 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, - 4), a = 4, b = 8

- 40 a^{2} + 28 b^{2} - 256 = 0

\frac{( x + 3 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{16} = 1

x^{2} - y^{2} = 6

x^{2} - 9 y^{2} + 2 x + 36 y - 44 = 0

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

What is 4x^2-y^2-24x-8y-44=0 ?
The solution to 4x^2-y^2-24x-8y-44=0 is Hyperbola with (h,k)=(3,-4),a=4,b=8