exzentrizität (x^2)/(16)+(y^2)/(80)=1

Lösung

exzentrizität

\frac{x ^{2}}{16} + \frac{y ^{2}}{80} = 1

\frac{2}{5}

Dezimale

0.89442 \dots

Schritte zur Lösung

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

Calculate ellipse properties

\frac{x ^{2}}{16} + \frac{y ^{2}}{80} = 1 :

Ellipse with center

(h, k) = (0, 0), b = 45, a = 4

= \frac{( 4 5 ) ^{2} - 4 ^{2}}{4 5}

\frac{( 4 5 ) ^{2} - 4 ^{2}}{4 5} = \frac{2}{5}

= \frac{2}{5}

ecce n t r i c i t y 2 x^{2} + y^{2} = 50

ecce n t r i c i t y 4 x^{2} + 3 y^{2} + 8 x - 24 y + 51 = 0

ecce n t r i c i t y \frac{x ^{2}}{25} + \frac{y ^{2}}{36} = 1

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

ecce n t r i c i t y x^{2} + y^{2} - 6 x - 8 y = 50