foki 9x^2+25y^2-100y-125=0

Lösung

foki

9 x^{2} + 25 y^{2} - 100 y - 125 = 0

(4, 2), (- 4, 2)

Schritte zur Lösung

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

Calculate ellipse properties

9 x^{2} + 25 y^{2} - 100 y - 125 = 0 :

Ellipse with center

(h, k) = (0, 2), a = 5, b = 3

(0 + c, 2), (0 - c, 2)

Compute

c :

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

(0 + 4, 2), (0 - 4, 2)

Fasse zusammen

(4, 2), (- 4, 2)

f oc i \frac{( x - 1 ) ^{2}}{45} + \frac{y ^{2}}{54} = 1

f oc i 36 x^{2} + 5 y^{2} - 90 y - 495 = 0

f oc i 9 x^{2} + 49 y^{2} = 441

f oc i \frac{( x + 4 ) ^{2}}{225} + \frac{( y - 7 ) ^{2}}{81} = 1

f oc i 25 x^{2} + 16 y^{2} + 100 x - 96 y - 156 = 0