de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

4x^2-12y^2-24x+24y+51=0

Lösung

4 x^{2} - 12 y^{2} - 24 x + 24 y + 51 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} - 12 y^{2} - 24 x + 24 y + 51 = 0

Rewrite

4 x^{2} - 12 y^{2} - 24 x + 24 y + 51 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

y=(273x)/(340y)x+240000/340

y = \frac{273 x}{340 y} x + \frac{240000}{340}

(y^2)/4-(x^2)/(12)=1

\frac{y ^{2}}{4} - \frac{x ^{2}}{12} = 1

4(x+5)^2-4y^2=20

4 (x + 5)^{2} - 4 y^{2} = 20

((x-sqrt(27))^2)/6-((y-4)^2)/(10)=1

\frac{( x - 27 ) ^{2}}{6} - \frac{( y - 4 ) ^{2}}{10} = 1

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

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