foki 81x^2+16y^2=1296

Lösung

foki

81 x^{2} + 16 y^{2} = 1296

(0, 65), (0, - 65)

Schritte zur Lösung

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

Calculate ellipse properties

81 x^{2} + 16 y^{2} = 1296 :

Ellipse with center

(h, k) = (0, 0), b = 9, a = 4

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

Compute

c :

c = 9^{2} - 4^{2} : 65

(0, 0 + 65), (0, 0 - 65)

Fasse zusammen

(0, 65), (0, - 65)

f oc i 25 x^{2} + 9 y^{2} - 100 x - 90 y + 100 = 0

f oc i 49 x^{2} + 25 y^{2} - 1225 = 0

f oc i \frac{( X - 1 ) ^{2}}{4} + \frac{( Y + 2 ) ^{2}}{16} = 1

f oc i 25 x^{2} + 4 y^{2} - 100 x = 0

f oc i \frac{( x - 1 ) ^{2}}{6} + \frac{( y - 3 ) ^{2}}{2} = 1