What is 4x^2-24x-36y^2-360y+864=0 ?

The solution to 4x^2-24x-36y^2-360y+864=0 is Hyperbola with (h,k)=(3,-5),a=4sqrt(3),b=12sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^2-24x-36y^2-360y+864=0

4 x^{2} - 24 x - 36 y^{2} - 360 y + 864 = 0

(h, k) = (3, - 5), a = 43, b = 123

Solution steps

4 x^{2} - 24 x - 36 y^{2} - 360 y + 864 = 0

Rewrite

4 x^{2} - 24 x - 36 y^{2} - 360 y + 864 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 5 ) ) ^{2}}{( 4 3 ) ^{2}} - \frac{( x - 3 ) ^{2}}{( 12 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, - 5), a = 43, b = 123

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

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

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

- 36 y^{2} + 100 x^{2} - 1600 = 0

\frac{( x - 1 ) ^{2}}{16} - \frac{( y + 6 ) ^{2}}{49} = 1

What is 4x^2-24x-36y^2-360y+864=0 ?
The solution to 4x^2-24x-36y^2-360y+864=0 is Hyperbola with (h,k)=(3,-5),a=4sqrt(3),b=12sqrt(3)