asymptoten (x^2)/9-(y^2)/(25)=1

Lösung

asymptoten

\frac{x ^{2}}{9} - \frac{y ^{2}}{25} = 1

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

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{x ^{2}}{9} - \frac{y ^{2}}{25} = 1 :

Right-left Hyperbola with

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

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

Fasse zusammen

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

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

a sy m pt o t es - 16 x^{2} + 9 y^{2} + 96 x - 90 y - 63 = 0