asymptoten 4y^2-25x^2=100

Lösung

asymptoten

4 y^{2} - 25 x^{2} = 100

y = \frac{5 x}{2}, y = - \frac{5 x}{2}

Schritte zur Lösung

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

Calculate Hyperbola properties

4 y^{2} - 25 x^{2} = 100 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 5, b = 2

y = \frac{5}{2} (x - 0) + 0, y = - \frac{5}{2} (x - 0) + 0

Fasse zusammen

y = \frac{5 x}{2}, y = - \frac{5 x}{2}

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

a sy m pt o t es \frac{( y - 2 ) ^{2}}{9} - \frac{( x + 3 ) ^{2}}{1} = 1

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

a sy m pt o t es 25 y^{2} - 36 (x - 8)^{2} = 900

a sy m pt o t es \frac{x ^{2}}{25} - \frac{y ^{2}}{49} = 1