asymptoten 9x^2-16y^2+36x+32y-124=0

Lösung

asymptoten

9 x^{2} - 16 y^{2} + 36 x + 32 y - 124 = 0

y = \frac{3}{4} (x + 2) + 1, y = - \frac{3}{4} (x + 2) + 1

Schritte zur Lösung

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

Calculate Hyperbola properties

9 x^{2} - 16 y^{2} + 36 x + 32 y - 124 = 0 :

Right-left Hyperbola with

(h, k) = (- 2, 1), a = 4, b = 3

y = \frac{3}{4} (x - (- 2)) + 1, y = - \frac{3}{4} (x - (- 2)) + 1

Fasse zusammen

y = \frac{3}{4} (x + 2) + 1, y = - \frac{3}{4} (x + 2) + 1

a sy m pt o t es 4 x^{2} - 25 y^{2} + 16 x + 50 y - 109 = 0

a sy m pt o t es (\frac{x}{2})^{2} - (\frac{y}{3})^{2} = 1

a sy m pt o t es \frac{x ^{2}}{4} - \frac{y ^{2}}{36} = 1

a sy m pt o t es \frac{x ^{2}}{25} - \frac{y ^{2}}{64} = 1

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