exzentrizität (x^2)/(36)+(y^2)/(16)=1

Lösung

exzentrizität

\frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1

\frac{5}{3}

Dezimale

0.74535 \dots

Schritte zur Lösung

= \frac{a ^{2} - b ^{2}}{a}

Calculate ellipse properties

\frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1 :

Ellipse with center

(h, k) = (0, 0), a = 6, b = 4

= \frac{6 ^{2} - 4 ^{2}}{6}

\frac{6 ^{2} - 4 ^{2}}{6} = \frac{5}{3}

= \frac{5}{3}

ecce n t r i c i t y 4 x^{2} + 9 y^{2} - 16 x + 18 y = 11

ecce n t r i c i t y 4 x^{2} + 3 y^{2} - 8 x + 18 y + 19 = 0

ecce n t r i c i t y \frac{x ^{2}}{25} + \frac{( y + 3 ) ^{2}}{49} = 1

ecce n t r i c i t y 36 x^{2} + 9 y^{2} + 36 y - 288 = 0

ecce n t r i c i t y 16 x^{2} + 25 y^{2} - 96 x + 100 y - 156 = 0