asymptoten 4y^2-5x^2-48y-10x+59=0

Lösung

asymptoten

4 y^{2} - 5 x^{2} - 48 y - 10 x + 59 = 0

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

Schritte zur Lösung

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

Calculate Hyperbola properties

4 y^{2} - 5 x^{2} - 48 y - 10 x + 59 = 0 :

Up-down Hyperbola with

(h, k) = (- 1, 6), a = 25, b = 4

y = \frac{2 5}{4} (x - (- 1)) + 6, y = - \frac{2 5}{4} (x - (- 1)) + 6

Fasse zusammen

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