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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2-4x-y^2-6y-2=0

x^{2} - 4 x - y^{2} - 6 y - 2 = 0

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

Solution steps

x^{2} - 4 x - y^{2} - 6 y - 2 = 0

Rewrite

x^{2} - 4 x - y^{2} - 6 y - 2 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{( y + 3 ) ^{2}}{64} - \frac{( x + 1 ) ^{2}}{36} = 1

- 4 x^{2} + 9 y^{2} + 24 x - 36 y - 32 = 0

\frac{x ^{2}}{24} - \frac{y ^{2}}{9} = 1

x^{2} - y^{2} - 6 y = 0

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

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