asymptoten 16y^2-x^2+2x+64y-1=0

Lösung

asymptoten

16 y^{2} - x^{2} + 2 x + 64 y - 1 = 0

y = \frac{x - 1}{4} - 2, y = - \frac{x - 1}{4} - 2

Schritte zur Lösung

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

Calculate Hyperbola properties

16 y^{2} - x^{2} + 2 x + 64 y - 1 = 0 :

Up-down Hyperbola with

(h, k) = (1, - 2), a = 2, b = 8

y = \frac{2}{8} (x - 1) + (- 2), y = - \frac{2}{8} (x - 1) + (- 2)

Fasse zusammen

y = \frac{x - 1}{4} - 2, y = - \frac{x - 1}{4} - 2

a sy m pt o t es 5 x^{2} - 5 y^{2} + 20 x - 60 y = 185

a sy m pt o t es 9 y^{2} - 4 x^{2} - 36 y - 8 x = 4

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

a sy m pt o t es \frac{x ^{2}}{16} - \frac{y ^{2}}{64} = 1

a sy m pt o t es \frac{y ^{2}}{49} - \frac{x ^{2}}{36} = 1