foki ((x-1)^2)/(36)+((y-2)^2)/(115)=3

Lösung

foki

\frac{( x - 1 ) ^{2}}{36} + \frac{( y - 2 ) ^{2}}{115} = 3

(1, 2 + 237), (1, 2 - 237)

Schritte zur Lösung

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

Calculate ellipse properties

\frac{( x - 1 ) ^{2}}{36} + \frac{( y - 2 ) ^{2}}{115} = 3 :

Ellipse with center

(h, k) = (1, 2), b = 345, a = 63

(1, 2 + c), (1, 2 - c)

Compute

c :

c = 345^{2} - (63)^{2} : 237

(1, 2 + 237), (1, 2 - 237)

f oc i 25 x^{2} + y^{2} - 4 y - 21 = 0

f oc i \frac{x ^{2}}{0.38 4 ^{2}} + \frac{y ^{2}}{0.375 8 ^{2}} = 1

f oc i 9 x^{2} + 25 y^{2} + 90 x = 0

f oc i \frac{x ^{2}}{8 ^{2}} + \frac{y ^{2}}{9 ^{2}} = 1

f oc i \frac{x ^{2}}{46} + \frac{( y + 8 ) ^{2}}{26} = 1