asymptoten 5x^2-6y^2-20x+12y-16=0

Lösung

asymptoten

5 x^{2} - 6 y^{2} - 20 x + 12 y - 16 = 0

y = \frac{5}{6} (x - 2) + 1, y = - \frac{5}{6} (x - 2) + 1

Schritte zur Lösung

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

Calculate Hyperbola properties

5 x^{2} - 6 y^{2} - 20 x + 12 y - 16 = 0 :

Right-left Hyperbola with

(h, k) = (2, 1), a = 6, b = 5

y = \frac{5}{6} (x - 2) + 1, y = - \frac{5}{6} (x - 2) + 1

Fasse zusammen

y = \frac{5}{6} (x - 2) + 1, y = - \frac{5}{6} (x - 2) + 1