asymptoten x^2-4y^2-20x-64y-172=0

Lösung

asymptoten

x^{2} - 4 y^{2} - 20 x - 64 y - 172 = 0

y = \frac{x - 10}{2} - 8, y = - \frac{x - 10}{2} - 8

Schritte zur Lösung

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

Calculate Hyperbola properties

x^{2} - 4 y^{2} - 20 x - 64 y - 172 = 0 :

Right-left Hyperbola with

(h, k) = (10, - 8), a = 4, b = 2

y = \frac{2}{4} (x - 10) + (- 8), y = - \frac{2}{4} (x - 10) + (- 8)

Fasse zusammen

y = \frac{x - 10}{2} - 8, y = - \frac{x - 10}{2} - 8

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

a sy m pt o t es - 16 x^{2} + 25 y^{2} - 64 x - 150 y - 239 = 0

a sy m pt o t es \frac{1}{144} x^{2} - \frac{1}{196} y^{2} = 1

a sy m pt o t es 9 x^{2} - 36 y^{2} = 324

a sy m pt o t es 9 x^{2} - y^{2} = 36