de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

4x^2-24x-y^2-2y=-31

Lösung

4 x^{2} - 24 x - y^{2} - 2 y = - 31

Lösung

(h, k) = (3, - 1), a = 1, b = 2

Schritte zur Lösung

4 x^{2} - 24 x - y^{2} - 2 y = - 31

Rewrite

4 x^{2} - 24 x - y^{2} - 2 y = - 31

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, - 1), a = 1, b = 2

Graph

Beliebte Beispiele

9y^2-4x^2+32x-36y-64=0

9 y^{2} - 4 x^{2} + 32 x - 36 y - 64 = 0

x^{2} + (2 - y^{2}) = 9

4x^2-y^2-16x+2y+11=0

4 x^{2} - y^{2} - 16 x + 2 y + 11 = 0

(((y+4))/9)^2-(((x-3))/(25))^2=1

(\frac{( y + 4 )}{9})^{2} - (\frac{( x - 3 )}{25})^{2} = 1

((x-3)^2}{25}-\frac{(y-1)^2)/4 =1

\frac{( x - 3 ) ^{2}}{25} - \frac{( y - 1 ) ^{2}}{4} = 1