foki 25x^2+y^2-4y-21=0

Lösung

foki

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

(0, 2 + 26), (0, 2 - 26)

Schritte zur Lösung

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

Calculate ellipse properties

25 x^{2} + y^{2} - 4 y - 21 = 0 :

Ellipse with center

(h, k) = (0, 2), b = 5, a = 1

(0, 2 + c), (0, 2 - c)

Compute

c :

c = 5^{2} - 1^{2} : 26

(0, 2 + 26), (0, 2 - 26)

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

f oc i 4 x^{2} + 36 y^{2} - 24 x - 288 y + 611 = 0