exzentrizität (x^2)/9+y^2=1

Lösung

exzentrizität

\frac{x ^{2}}{9} + y^{2} = 1

\frac{2 2}{3}

Dezimale

0.94280 \dots

Schritte zur Lösung

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

Calculate ellipse properties

\frac{x ^{2}}{9} + y^{2} = 1 :

Ellipse with center

(h, k) = (0, 0), a = 3, b = 1

= \frac{3 ^{2} - 1 ^{2}}{3}

\frac{3 ^{2} - 1 ^{2}}{3} = \frac{2 2}{3}

= \frac{2 2}{3}

ecce n t r i c i t y \frac{x ^{2}}{12} + \frac{y ^{2}}{49} = 1

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

ecce n t r i c i t y \frac{x ^{2}}{169} + \frac{y ^{2}}{25} = 1

ecce n t r i c i t y 16 x^{2} + 9 y^{2} + 160 x - 72 y + 544 = 144

ecce n t r i c i t y \frac{x ^{2}}{25} + \frac{y ^{2}}{64} = 1