foki 8x^2+2y^2+16x=0

Lösung

foki

8 x^{2} + 2 y^{2} + 16 x = 0

(- 1, 3), (- 1, - 3)

Schritte zur Lösung

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

Calculate ellipse properties

8 x^{2} + 2 y^{2} + 16 x = 0 :

Ellipse with center

(h, k) = (- 1, 0), b = 2, a = 1

(- 1, 0 + c), (- 1, 0 - c)

Compute

c :

c = 2^{2} - 1^{2} : 3

(- 1, 0 + 3), (- 1, 0 - 3)

Fasse zusammen

(- 1, 3), (- 1, - 3)

f oc i 16 x^{2} + 25 y^{2} - 64 x - 50 y - 311 = 0

f oc i x^{2} - 8 x + 25 y^{2} - 100 y + 91 = 0

f oc i 25 x^{2} + 9 y^{2} - 100 x + 18 y - 116 = 0

f oc i \frac{x ^{2}}{64} + \frac{y ^{2}}{100} = 1

f oc i \frac{( x - 3 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{16} = 1