foki 5x^2+7y^2=70

Lösung

foki

5 x^{2} + 7 y^{2} = 70

(2, 0), (- 2, 0)

Schritte zur Lösung

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

Calculate ellipse properties

5 x^{2} + 7 y^{2} = 70 :

Ellipse with center

(h, k) = (0, 0), a = 14, b = 10

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

Compute

c :

c = 14^{2} - 10^{2} : 2

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

Fasse zusammen

(2, 0), (- 2, 0)

f oc i \frac{x ^{2}}{\frac{9}{4}} + \frac{y ^{2}}{\frac{25}{4}} = 1

f oc i x^{2} + 4 y^{2} + 6 x + 16 y + 21 = 0

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

f oc i 9 x^{2} + 4 y^{2} + 32 y + 28 = 0

f oc i \frac{x ^{2}}{625} + \frac{y ^{2}}{400} = 1