foki (y^2)/4-(x^2)/(21)=1

Lösung

foki

\frac{y ^{2}}{4} - \frac{x ^{2}}{21} = 1

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

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{y ^{2}}{4} - \frac{x ^{2}}{21} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 2, b = 21

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

Compute

c :

c = 2^{2} + 21^{2} : 5

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

Fasse zusammen

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

f oc i x^{2} - y^{2} = 100

f oc i \frac{( x + 2 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{9} = 1

f oc i \frac{( x + 1 ) ^{2}}{4} - \frac{( y + 2 ) ^{2}}{4} = 1

f oc i x^{2} - y^{2} - 10 x - 10 y - 1 = 0

f oc i \frac{( x - 3 ) ^{2}}{16} - \frac{( y + 8 ) ^{2}}{64} = 1