foki 16x^2+25y^2-128x+150y+81=0

Lösung

foki

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

(7, - 3), (1, - 3)

Schritte zur Lösung

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

Calculate ellipse properties

16 x^{2} + 25 y^{2} - 128 x + 150 y + 81 = 0 :

Ellipse with center

(h, k) = (4, - 3), a = 5, b = 4

(4 + c, - 3), (4 - c, - 3)

Compute

c :

c = 5^{2} - 4^{2} : 3

(4 + 3, - 3), (4 - 3, - 3)

Fasse zusammen

(7, - 3), (1, - 3)

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

f oc i \frac{x ^{2}}{100} + \frac{( y - 6 ) ^{2}}{64} = 1