asymptoten-16x^2+9y^2+96x-90y-63=0

Lösung

asymptoten

- 16 x^{2} + 9 y^{2} + 96 x - 90 y - 63 = 0

y = \frac{4}{3} (x - 3) + 5, y = - \frac{4}{3} (x - 3) + 5

Schritte zur Lösung

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

Calculate Hyperbola properties

- 16 x^{2} + 9 y^{2} + 96 x - 90 y - 63 = 0 :

Up-down Hyperbola with

(h, k) = (3, 5), a = 4, b = 3

y = \frac{4}{3} (x - 3) + 5, y = - \frac{4}{3} (x - 3) + 5

a sy m pt o t es - 4 x^{2} + y^{2} = 16

a sy m pt o t es \frac{x ^{2}}{64} - \frac{y ^{2}}{144} = 1

a sy m pt o t es \frac{x ^{2}}{4} - \frac{y ^{2}}{25} = 1

a sy m pt o t es \frac{y ^{2}}{16} - \frac{x ^{2}}{4} = 1

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