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

Lösung

asymptoten

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

y = \frac{8 x}{3}, y = - \frac{8 x}{3}

Schritte zur Lösung

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 3, b = 8

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

Fasse zusammen

y = \frac{8 x}{3}, y = - \frac{8 x}{3}

a sy m pt o t es x^{2} - 5 y^{2} = 7

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

a sy m pt o t es \frac{x ^{2}}{4} - \frac{y ^{2}}{49} = 1

a sy m pt o t es 4 y^{2} - x^{2} = 900

a sy m pt o t es 9 (x - 1)^{2} - 16 (y + 2)^{2} = 144