foki ((x-2)^2)/9+((y+1)^2)/4 =1

Lösung

foki

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

(2 + 5, - 1), (2 - 5, - 1)

Schritte zur Lösung

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

Calculate ellipse properties

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

Ellipse with center

(h, k) = (2, - 1), a = 3, b = 2

(2 + c, - 1), (2 - c, - 1)

Compute

c :

c = 3^{2} - 2^{2} : 5

(2 + 5, - 1), (2 - 5, - 1)

f oc i x^{2} - 4 x + 100 y^{2} + 200 y + 4 = 0

f oc i 4 x^{2} + 25 y^{2} - 24 x + 250 y + 561 = 0

f oc i 5 x^{2} + 9 y^{2} - 20 x - 18 y - 16 = 0

f oc i \frac{( x + 3 ) ^{2}}{4} + \frac{( y - 2 ) ^{2}}{16} = 1

f oc i \frac{( x - 6 ) ^{2}}{36} + \frac{( y + 4 ) ^{2}}{16} = 1