foki 49x^2+25y^2=1225

Lösung

foki

49 x^{2} + 25 y^{2} = 1225

(0, 26), (0, - 26)

Schritte zur Lösung

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

Calculate ellipse properties

49 x^{2} + 25 y^{2} = 1225 :

Ellipse with center

(h, k) = (0, 0), b = 7, a = 5

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

Compute

c :

c = 7^{2} - 5^{2} : 26

(0, 0 + 26), (0, 0 - 26)

Fasse zusammen

(0, 26), (0, - 26)

f oc i \frac{( x - 4 ) ^{2}}{32} + \frac{( y - 3 ) ^{2}}{36} = 1

f oc i \frac{x ^{2}}{289} + \frac{y ^{2}}{225} = 1

f oc i \frac{( x + 3 ) ^{2}}{36} + \frac{( y - 1 ) ^{2}}{9} = 1

f oc i 9 x^{2} + 25 y^{2} + 54 x + 100 y - 44 = 0

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