de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

9x^2-4y^2+54x+16y+66=0

Lösung

9 x^{2} - 4 y^{2} + 54 x + 16 y + 66 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} - 4 y^{2} + 54 x + 16 y + 66 = 0

Rewrite

9 x^{2} - 4 y^{2} + 54 x + 16 y + 66 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

x^{2} = (13 y^{2} + 1)

a^{2} - b^{2} = 424

a^{2} - b^{2} = 415

4y^2-24y-2x^2+20=2

4 y^{2} - 24 y - 2 x^{2} + 20 = 2

9(x^2-2x)-4(y^2+4y)=-29

9 (x^{2} - 2 x) - 4 (y^{2} + 4 y) = - 29