foki 4(x-4)^2+9y^2=36

Lösung

foki

4 (x - 4)^{2} + 9 y^{2} = 36

(4 + 5, 0), (4 - 5, 0)

Schritte zur Lösung

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

Calculate ellipse properties

4 (x - 4)^{2} + 9 y^{2} = 36 :

Ellipse with center

(h, k) = (4, 0), a = 3, b = 2

(4 + c, 0), (4 - c, 0)

Compute

c :

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

(4 + 5, 0), (4 - 5, 0)

f oc i 4 x^{2} + 16 y^{2} = 64

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

f oc i 9 x^{2} + 4 y^{2} + 54 x - 8 y + 49 = 0

f oc i \frac{( x - 11 ) ^{2}}{63} + \frac{( y - 13 ) ^{2}}{81} = 1

f oc i \frac{( x - 7 ) ^{2}}{144} + \frac{( y - 4 ) ^{2}}{128} = 1