exzentrizität (x^2)/(36)+(y^2)/(81)=1

Lösung

exzentrizität

\frac{x ^{2}}{36} + \frac{y ^{2}}{81} = 1

\frac{5}{3}

Dezimale

0.74535 \dots

Schritte zur Lösung

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

Calculate ellipse properties

\frac{x ^{2}}{36} + \frac{y ^{2}}{81} = 1 :

Ellipse with center

(h, k) = (0, 0), b = 9, a = 6

= \frac{9 ^{2} - 6 ^{2}}{9}

\frac{9 ^{2} - 6 ^{2}}{9} = \frac{5}{3}

= \frac{5}{3}

ecce n t r i c i t y \frac{1}{5} x^{2} + \frac{1}{125} y^{2} = 5

ecce n t r i c i t y 3 x^{2} + 2 y^{2} = 6

ecce n t r i c i t y 3 x^{2} + 7 y^{2} = 63

ecce n t r i c i t y \frac{x ^{2}}{160} + \frac{y ^{2}}{16} = 1

ecce n t r i c i t y 9 x^{2} + 25 y^{2} + 108 x - 200 y + 499 = 0