asymptoten x^2-9y^2=144

Lösung

asymptoten

x^{2} - 9 y^{2} = 144

y = \frac{x}{3}, y = - \frac{x}{3}

Schritte zur Lösung

y = \pm \frac{b}{a} (x - h) + k

Calculate Hyperbola properties

x^{2} - 9 y^{2} = 144 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 12, b = 4

y = \frac{4}{12} (x - 0) + 0, y = - \frac{4}{12} (x - 0) + 0

Fasse zusammen

y = \frac{x}{3}, y = - \frac{x}{3}

a sy m pt o t es 9 x^{2} - 16 y^{2} + 36 x + 32 y - 124 = 0

a sy m pt o t es 4 x^{2} - 25 y^{2} + 16 x + 50 y - 109 = 0

a sy m pt o t es (\frac{x}{2})^{2} - (\frac{y}{3})^{2} = 1

a sy m pt o t es \frac{x ^{2}}{4} - \frac{y ^{2}}{36} = 1

a sy m pt o t es \frac{x ^{2}}{25} - \frac{y ^{2}}{64} = 1