asymptoten 9x^2-25y^2=225

Lösung

asymptoten

9 x^{2} - 25 y^{2} = 225

y = \frac{3 x}{5}, y = - \frac{3 x}{5}

Schritte zur Lösung

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

Calculate Hyperbola properties

9 x^{2} - 25 y^{2} = 225 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 5, b = 3

y = \frac{3}{5} (x - 0) + 0, y = - \frac{3}{5} (x - 0) + 0

Fasse zusammen

y = \frac{3 x}{5}, y = - \frac{3 x}{5}

a sy m pt o t es \frac{x ^{2}}{9} - \frac{y ^{2}}{25} = 1

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

a sy m pt o t es \frac{y ^{2}}{4} - \frac{x ^{2}}{25} = 1

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

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