asymptoten 4x^2-9y^2-16x+18y-7=0

Lösung

asymptoten

4 x^{2} - 9 y^{2} - 16 x + 18 y - 7 = 0

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

Schritte zur Lösung

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

Calculate Hyperbola properties

4 x^{2} - 9 y^{2} - 16 x + 18 y - 7 = 0 :

Right-left Hyperbola with

(h, k) = (2, 1), a = \frac{7}{2}, b = \frac{14}{3}

y = \frac{\frac{14}{3}}{\frac{7}{2}} (x - 2) + 1, y = - \frac{\frac{14}{3}}{\frac{7}{2}} (x - 2) + 1

Fasse zusammen

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