foki (x^2)/(9/4)+(y^2)/(25/4)=1

Lösung

foki

\frac{x ^{2}}{\frac{9}{4}} + \frac{y ^{2}}{\frac{25}{4}} = 1

(0, 2), (0, - 2)

Schritte zur Lösung

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

Calculate ellipse properties

\frac{x ^{2}}{\frac{9}{4}} + \frac{y ^{2}}{\frac{25}{4}} = 1 :

Ellipse with center

(h, k) = (0, 0), b = \frac{5}{2}, a = \frac{3}{2}

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

Compute

c :

c = (\frac{5}{2})^{2} - (\frac{3}{2})^{2} : 2

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

Fasse zusammen

(0, 2), (0, - 2)

f oc i x^{2} + 4 y^{2} + 6 x + 16 y + 21 = 0

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

f oc i 9 x^{2} + 4 y^{2} + 32 y + 28 = 0

f oc i \frac{x ^{2}}{625} + \frac{y ^{2}}{400} = 1

f oc i 4 x^{2} + 25 y^{2} + 40 x - 150 y + 225 = 0