asymptoten x^2-9y^2-4x+36y-41=0

Lösung

asymptoten

x^{2} - 9 y^{2} - 4 x + 36 y - 41 = 0

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

Schritte zur Lösung

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

Calculate Hyperbola properties

x^{2} - 9 y^{2} - 4 x + 36 y - 41 = 0 :

Right-left Hyperbola with

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

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

a sy m pt o t es \frac{y ^{2}}{64} - \frac{x ^{2}}{324} = 1

a sy m pt o t es x^{2} - 16 y^{2} = 144

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

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

a sy m pt o t es (\frac{x - 3}{4})^{2} - (\frac{y - 1}{3})^{2} = 1