foki 9y^2-16x^2=144

Lösung

foki

9 y^{2} - 16 x^{2} = 144

(0, 5), (0, - 5)

Schritte zur Lösung

(h, k + c), (h, k - c)

Calculate Hyperbola properties

9 y^{2} - 16 x^{2} = 144 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 4, b = 3

(0, 0 + c), (0, 0 - c)

Compute

c :

c = 4^{2} + 3^{2} : 5

(0, 0 + 5), (0, 0 - 5)

Fasse zusammen

(0, 5), (0, - 5)

f oc i \frac{x ^{2}}{144} - \frac{y ^{2}}{25} = 1

f oc i \frac{y ^{2}}{25} - \frac{x ^{2}}{81} = 1

f oc i \frac{( x - 5 ) ^{2}}{16} - \frac{( y + 7 ) ^{2}}{9} = - 1

f oc i 18 x^{2} - 32 y^{2} - 108 y - 128 x - 254 = 0

f oc i \frac{y ^{2}}{15} - \frac{x ^{2}}{1} = 1