foki 16x^2+25y^2-64x-50y-311=0

Lösung

foki

16 x^{2} + 25 y^{2} - 64 x - 50 y - 311 = 0

(5, 1), (- 1, 1)

Schritte zur Lösung

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

Calculate ellipse properties

16 x^{2} + 25 y^{2} - 64 x - 50 y - 311 = 0 :

Ellipse with center

(h, k) = (2, 1), a = 5, b = 4

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

Compute

c :

c = 5^{2} - 4^{2} : 3

(2 + 3, 1), (2 - 3, 1)

Fasse zusammen

(5, 1), (- 1, 1)

f oc i x^{2} - 8 x + 25 y^{2} - 100 y + 91 = 0

f oc i 25 x^{2} + 9 y^{2} - 100 x + 18 y - 116 = 0

f oc i \frac{x ^{2}}{64} + \frac{y ^{2}}{100} = 1

f oc i \frac{( x - 3 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{16} = 1

f oc i \frac{( x - h ) ^{2}}{a ^{2}} + \frac{( y - k ) ^{2}}{b ^{2}} = 1