foki ((x+1)^2}{3/2}+\frac{y^2)/1 =1

Lösung

foki

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

(- 1 + \frac{1}{2}, 0), (- 1 - \frac{1}{2}, 0)

Schritte zur Lösung

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

Calculate ellipse properties

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

Ellipse with center

(h, k) = (- 1, 0), a = \frac{3}{2}, b = 1

(- 1 + c, 0), (- 1 - c, 0)

Compute

c :

c = \frac{3}{2}^{2} - 1^{2} : \frac{1}{2}

(- 1 + \frac{1}{2}, 0), (- 1 - \frac{1}{2}, 0)

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

f oc i \frac{x ^{2}}{\frac{81}{4}} + \frac{y ^{2}}{\frac{25}{16}} = 1

f oc i \frac{( y - 1 ) ^{2}}{4} + \frac{( x ^{2} )}{25} = 1