What is 4x^2-y^2-24x-6y+11=0 ?

The solution to 4x^2-y^2-24x-6y+11=0 is Hyperbola with (h,k)=(3,-3),a=2,b=4

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-6y+11=0

4 x^{2} - y^{2} - 24 x - 6 y + 11 = 0

(h, k) = (3, - 3), a = 2, b = 4

Solution steps

4 x^{2} - y^{2} - 24 x - 6 y + 11 = 0

Rewrite

4 x^{2} - y^{2} - 24 x - 6 y + 11 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, - 3), a = 2, b = 4

9 x^{2} - 8 y^{2} = 72

- 16 x^{2} + 25 y^{2} - 160 x - 150 y - 575 = 0

x^{2} - y^{2} = \frac{2}{3}

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

x^{2} - y^{2} + 2 x + 2 y - 20 = 0

What is 4x^2-y^2-24x-6y+11=0 ?
The solution to 4x^2-y^2-24x-6y+11=0 is Hyperbola with (h,k)=(3,-3),a=2,b=4