asymptoten 25y^2-64x^2=1600

Lösung

asymptoten

25 y^{2} - 64 x^{2} = 1600

y = \frac{8 x}{5}, y = - \frac{8 x}{5}

Schritte zur Lösung

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

Calculate Hyperbola properties

25 y^{2} - 64 x^{2} = 1600 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 8, b = 5

y = \frac{8}{5} (x - 0) + 0, y = - \frac{8}{5} (x - 0) + 0

Fasse zusammen

y = \frac{8 x}{5}, y = - \frac{8 x}{5}

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

a sy m pt o t es 9 x^{2} - y^{2} + 36 x - 12 y = 36

a sy m pt o t es 4 x^{2} - 24 x - 25 y^{2} + 250 y - 489 = 0

a sy m pt o t es 25 y^{2} - 81 x^{2} = 2025

a sy m pt o t es 6 x^{2} - 5 y^{2} - 24 x + 10 y - 11 = 0