asymptoten (9x^2)/(64)-(y^2)/(16)=1

Lösung

asymptoten

\frac{9 x ^{2}}{64} - \frac{y ^{2}}{16} = 1

y = \frac{3 x}{2}, y = - \frac{3 x}{2}

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{9 x ^{2}}{64} - \frac{y ^{2}}{16} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = \frac{8}{3}, b = 4

y = \frac{4}{\frac{8}{3}} (x - 0) + 0, y = - \frac{4}{\frac{8}{3}} (x - 0) + 0

Fasse zusammen

y = \frac{3 x}{2}, y = - \frac{3 x}{2}