foki 16x^2+36y^2=576

Lösung

foki

16 x^{2} + 36 y^{2} = 576

(25, 0), (- 25, 0)

Schritte zur Lösung

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

Calculate ellipse properties

16 x^{2} + 36 y^{2} = 576 :

Ellipse with center

(h, k) = (0, 0), a = 6, b = 4

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

Compute

c :

c = 6^{2} - 4^{2} : 25

(0 + 25, 0), (0 - 25, 0)

Fasse zusammen

(25, 0), (- 25, 0)

f oc i 16 x^{2} + 25 y^{2} - 128 x + 150 y + 81 = 0

f oc i 16 x^{2} + 25 y^{2} - 96 x - 256 = 0

f oc i x^{2} + 9 y^{2} + 2 x - 54 y + 46 = 0

f oc i \frac{x ^{2}}{140} + \frac{( y - 6 ) ^{2}}{4} = 1

f oc i \frac{x ^{2}}{81} + \frac{y ^{2}}{4} = 1