asymptoten-3x^2+2y^2+6x-7y=7

Lösung

asymptoten

- 3 x^{2} + 2 y^{2} + 6 x - 7 y = 7

y = \frac{3 ( x - 1 )}{2} + \frac{7}{4}, y = - \frac{3 ( x - 1 )}{2} + \frac{7}{4}

Schritte zur Lösung

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

Calculate Hyperbola properties

- 3 x^{2} + 2 y^{2} + 6 x - 7 y = 7 :

Up-down Hyperbola with

(h, k) = (1, \frac{7}{4}), a = \frac{9}{4}, b = \frac{3 3}{2 2}

y = \frac{\frac{9}{4}}{\frac{3 3}{2 2}} (x - 1) + \frac{7}{4}, y = - \frac{\frac{9}{4}}{\frac{3 3}{2 2}} (x - 1) + \frac{7}{4}

Fasse zusammen

y = \frac{3 ( x - 1 )}{2} + \frac{7}{4}, y = - \frac{3 ( x - 1 )}{2} + \frac{7}{4}