asymptoten 16y^2-81x^2-256y+486x=1001

Lösung

asymptoten

16 y^{2} - 81 x^{2} - 256 y + 486 x = 1001

y = \frac{9}{4} (x - 3) + 8, y = - \frac{9}{4} (x - 3) + 8

Schritte zur Lösung

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

Calculate Hyperbola properties

16 y^{2} - 81 x^{2} - 256 y + 486 x = 1001 :

Up-down Hyperbola with

(h, k) = (3, 8), a = 9, b = 4

y = \frac{9}{4} (x - 3) + 8, y = - \frac{9}{4} (x - 3) + 8

a sy m pt o t es 4 x^{2} - y^{2} + 40 x - 4 y + 80 = 0

a sy m pt o t es x^{2} - 16 y^{2} = 16

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

a sy m pt o t es \frac{x ^{2}}{9} - \frac{y ^{2}}{49} = 1

ce n t er \frac{( x - 3 ) ^{2}}{49} - \frac{( y + 5 ) ^{2}}{25} = 1