foki 4y^2-x^2+6x+8y+4=0

Lösung

foki

4 y^{2} - x^{2} + 6 x + 8 y + 4 = 0

(\frac{6 + 3 5}{2}, - 1), (\frac{6 - 3 5}{2}, - 1)

Schritte zur Lösung

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

Calculate Hyperbola properties

4 y^{2} - x^{2} + 6 x + 8 y + 4 = 0 :

Right-left Hyperbola with

(h, k) = (3, - 1), a = 3, b = \frac{3}{2}

(3 + c, - 1), (3 - c, - 1)

Compute

c :

c = 3^{2} + (\frac{3}{2})^{2} : \frac{3 5}{2}

(3 + \frac{3 5}{2}, - 1), (3 - \frac{3 5}{2}, - 1)

Fasse zusammen

(\frac{6 + 3 5}{2}, - 1), (\frac{6 - 3 5}{2}, - 1)

f oc i - 9 x^{2} + y^{2} + 6 y - 27 = 0

f oc i x^{2} - 4 y^{2} - 8 = 0

f oc i \frac{( y + 1 ) ^{2}}{49} - \frac{( x + 3 ) ^{2}}{64} = 1

f oc i 289 y^{2} - x^{2} = 1

f oc i \frac{( x + 2 ) ^{2}}{16} - \frac{( y - 3 ) ^{2}}{9} = 1