asymptoten-9x^2+4y^2-36x-16y-164=0

Lösung

asymptoten

- 9 x^{2} + 4 y^{2} - 36 x - 16 y - 164 = 0

y = \frac{3 ( x + 2 )}{2} + 2, y = - \frac{3 ( x + 2 )}{2} + 2

Schritte zur Lösung

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

Calculate Hyperbola properties

- 9 x^{2} + 4 y^{2} - 36 x - 16 y - 164 = 0 :

Up-down Hyperbola with

(h, k) = (- 2, 2), a = 6, b = 4

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

Fasse zusammen

y = \frac{3 ( x + 2 )}{2} + 2, y = - \frac{3 ( x + 2 )}{2} + 2

a sy m pt o t es \frac{y ^{2}}{16} - \frac{x ^{2}}{36} = 1

a sy m pt o t es x^{2} - y^{2} - 4 x + 8 y - 21 = 0

a sy m pt o t es \frac{x ^{2}}{7} - \frac{7 y ^{2}}{42} = 1

a sy m pt o t es \frac{x ^{2}}{81} - \frac{y ^{2}}{9} = 1

a sy m pt o t es \frac{y ^{2}}{4} - \frac{x ^{2}}{9} = 1