foki x^2-8x+25y^2-100y+91=0

Lösung

foki

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

(4 + 26, 2), (4 - 26, 2)

Schritte zur Lösung

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

Calculate ellipse properties

x^{2} - 8 x + 25 y^{2} - 100 y + 91 = 0 :

Ellipse with center

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

(4 + c, 2), (4 - c, 2)

Compute

c :

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

(4 + 26, 2), (4 - 26, 2)

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

f oc i 9 x^{2} + 18 x + 4 y^{2} - 24 y + 9 = 0