What is x^2-2y^2-2x-8y-27=0 ?

The solution to x^2-2y^2-2x-8y-27=0 is Hyperbola with (h,k)=(1,-2),a=2sqrt(5),b=sqrt(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2-2y^2-2x-8y-27=0

x^{2} - 2 y^{2} - 2 x - 8 y - 27 = 0

(h, k) = (1, - 2), a = 25, b = 10

Solution steps

x^{2} - 2 y^{2} - 2 x - 8 y - 27 = 0

Rewrite

x^{2} - 2 y^{2} - 2 x - 8 y - 27 = 0

in the form of a standard hyperbola equation

\frac{( x - 1 ) ^{2}}{( 2 5 ) ^{2}} - \frac{( y - ( - 2 ) ) ^{2}}{( 10 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, - 2), a = 25, b = 10

x, 0 = x^{2} + 2 x - 2 m (x)^{2}

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

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

- 36 x^{2} + y^{2} = 36

16 x^{2} - 9 y^{2} + 96 x + 36 y + 252 = 0

What is x^2-2y^2-2x-8y-27=0 ?
The solution to x^2-2y^2-2x-8y-27=0 is Hyperbola with (h,k)=(1,-2),a=2sqrt(5),b=sqrt(10)