exzentrizität (x^2)/(36)+(y^2)/(11)=1

Lösung

exzentrizität

\frac{x ^{2}}{36} + \frac{y ^{2}}{11} = 1

\frac{5}{6}

Dezimale

0.83333 \dots

Schritte zur Lösung

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

Calculate ellipse properties

\frac{x ^{2}}{36} + \frac{y ^{2}}{11} = 1 :

Ellipse with center

(h, k) = (0, 0), a = 6, b = 11

= \frac{6 ^{2} - ( 11 ) ^{2}}{6}

\frac{6 ^{2} - ( 11 ) ^{2}}{6} = \frac{5}{6}

= \frac{5}{6}

ecce n t r i c i t y 4 x^{2} + 32 x + 25 y^{2} - 250 y + 589 = 0

ecce n t r i c i t y \frac{x ^{2}}{9} + \frac{( y + 5 ) ^{2}}{25} = 1

ecce n t r i c i t y 4 y^{2} + 9 x^{2} = 36

ecce n t r i c i t y 2 x^{2} + 3 y^{2} + 4 x = 1

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