What is x^2-y^2+2x+2y-20=0 ?

The solution to x^2-y^2+2x+2y-20=0 is Hyperbola with (h,k)=(-1,1),a=2sqrt(5),b=2sqrt(5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

1 1^{2} + x^{2} = y^{2}

\frac{( x - 5 ) ^{2}}{16} - \frac{( y - 10 ) ^{2}}{10} = 1

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

4 x^{2} - 3 y^{2} + 32 x - 18 y = - 25

4 x^{2} - z^{2} = 1

What is x^2-y^2+2x+2y-20=0 ?
The solution to x^2-y^2+2x+2y-20=0 is Hyperbola with (h,k)=(-1,1),a=2sqrt(5),b=2sqrt(5)