de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

4x^2-y^2-4x+3y-26=0

Lösung

4 x^{2} - y^{2} - 4 x + 3 y - 26 = 0

Lösung

(h, k) = (\frac{1}{2}, \frac{3}{2}), a = \frac{3 11}{4}, b = \frac{3 11}{2}

Schritte zur Lösung

4 x^{2} - y^{2} - 4 x + 3 y - 26 = 0

Rewrite

4 x^{2} - y^{2} - 4 x + 3 y - 26 = 0

in the form of a standard hyperbola equation

\frac{( x - \frac{1}{2} ) ^{2}}{( \frac{3 11}{4} ) ^{2}} - \frac{( y - \frac{3}{2} ) ^{2}}{( \frac{3 11}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{2}, \frac{3}{2}), a = \frac{3 11}{4}, b = \frac{3 11}{2}

Graph

Beliebte Beispiele

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

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

-9x^2+4y^2-144=0

- 9 x^{2} + 4 y^{2} - 144 = 0

((x-1)^2)/9-((y-3)^2)/(16)=1

\frac{( x - 1 ) ^{2}}{9} - \frac{( y - 3 ) ^{2}}{16} = 1

(x-2)^2=4y(y+2)

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

10 y^{2} - 5 x^{2} = 50