foki ((x-11)^2)/(63)+((y-13)^2)/(81)=1

Lösung

foki

\frac{( x - 11 ) ^{2}}{63} + \frac{( y - 13 ) ^{2}}{81} = 1

(11, 13 + 32), (11, 13 - 32)

Schritte zur Lösung

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

Calculate ellipse properties

\frac{( x - 11 ) ^{2}}{63} + \frac{( y - 13 ) ^{2}}{81} = 1 :

Ellipse with center

(h, k) = (11, 13), b = 9, a = 37

(11, 13 + c), (11, 13 - c)

Compute

c :

c = 9^{2} - (37)^{2} : 32

(11, 13 + 32), (11, 13 - 32)

f oc i \frac{( x - 7 ) ^{2}}{144} + \frac{( y - 4 ) ^{2}}{128} = 1

f oc i \frac{( x + 20 ) ^{2}}{105} + \frac{y ^{2}}{16} = 1

f oc i 16 x^{2} + 36 y^{2} = 576

f oc i 16 x^{2} + 25 y^{2} - 128 x + 150 y + 81 = 0

f oc i 16 x^{2} + 25 y^{2} - 96 x - 256 = 0