asymptoten (y^2)/(49)-(x^2)/(64)=1

Lösung

asymptoten

\frac{y ^{2}}{49} - \frac{x ^{2}}{64} = 1

y = \frac{7 x}{8}, y = - \frac{7 x}{8}

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{y ^{2}}{49} - \frac{x ^{2}}{64} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 7, b = 8

y = \frac{7}{8} (x - 0) + 0, y = - \frac{7}{8} (x - 0) + 0

Fasse zusammen

y = \frac{7 x}{8}, y = - \frac{7 x}{8}

a sy m pt o t es 25 x^{2} - 16 y^{2} + 50 x - 32 y - 391 = 0

a sy m pt o t es \frac{( y ) ^{2}}{12} - \frac{x ^{2}}{16} = 1

a sy m pt o t es 9 x^{2} - 18 x - 24 y - 63 = 4 y^{2}

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

a sy m pt o t es 3 x^{2} - 8 y^{2} + 12 x + 16 y + 20 = 0