foki 81x^2+49y^2=3969

Lösung

foki

81 x^{2} + 49 y^{2} = 3969

(0, 42), (0, - 42)

Schritte zur Lösung

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

Calculate ellipse properties

81 x^{2} + 49 y^{2} = 3969 :

Ellipse with center

(h, k) = (0, 0), b = 9, a = 7

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

Compute

c :

c = 9^{2} - 7^{2} : 42

(0, 0 + 42), (0, 0 - 42)

Fasse zusammen

(0, 42), (0, - 42)

f oc i \frac{( x - 2 ) ^{2}}{2} + \frac{( y - 1 ) ^{2}}{8} = 1

f oc i \frac{( x + 2 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{81} = 1

f oc i 9 x^{2} + 16 y^{2} + 72 x + 128 y + 256 = 0

f oc i 25 x^{2} + 9 y^{2} - 150 x - 18 y + 9 = 0

f oc i 4 x^{2} + y^{2} + 40 x + 6 y + 95 = 0