exzentrizität 6x^2+9y^2=54

Lösung

exzentrizität

6 x^{2} + 9 y^{2} = 54

\frac{1}{3}

Dezimale

0.57735 \dots

Schritte zur Lösung

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

Calculate ellipse properties

6 x^{2} + 9 y^{2} = 54 :

Ellipse with center

(h, k) = (0, 0), a = 3, b = 6

= \frac{3 ^{2} - ( 6 ) ^{2}}{3}

\frac{3 ^{2} - ( 6 ) ^{2}}{3} = \frac{1}{3}

= \frac{1}{3}

ecce n t r i c i t y 10 x^{2} + 35 y^{2} = 5

ecce n t r i c i t y \frac{x ^{2}}{13.44} + \frac{y ^{2}}{16} = 1

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

ecce n t r i c i t y 25 x^{2} + 9 y^{2} - 150 x - 18 y + 9 = 0

ecce n t r i c i t y \frac{x ^{2}}{169} + \frac{y ^{2}}{144} = 1