foki 9x^2-54x+y^2+2y+46=0

Lösung

foki

9 x^{2} - 54 x + y^{2} + 2 y + 46 = 0

(3, - 1 + 42), (3, - 1 - 42)

Schritte zur Lösung

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

Calculate ellipse properties

9 x^{2} - 54 x + y^{2} + 2 y + 46 = 0 :

Ellipse with center

(h, k) = (3, - 1), b = 6, a = 2

(3, - 1 + c), (3, - 1 - c)

Compute

c :

c = 6^{2} - 2^{2} : 42

(3, - 1 + 42), (3, - 1 - 42)

f oc i \frac{x ^{2}}{8 ^{2}} + \frac{y ^{2}}{4 ^{2}} = 1

f oc i \frac{( x - 2 ) ^{2}}{9} + \frac{( y + 1 ) ^{2}}{36} = 1

f oc i \frac{( x - 6 ) ^{2}}{16} + \frac{( y + 3 ) ^{2}}{25} = 1

f oc i 9 x^{2} + 36 y^{2} = 324

f oc i \frac{( x - 12 ) ^{2}}{289} + \frac{( y - 3 ) ^{2}}{64} = 1