exzentrizität 25x^2+16y^2+100x-96y-156=0

Lösung

exzentrizität

25 x^{2} + 16 y^{2} + 100 x - 96 y - 156 = 0

\frac{3}{5}

Dezimale

0.6

Schritte zur Lösung

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

Calculate ellipse properties

25 x^{2} + 16 y^{2} + 100 x - 96 y - 156 = 0 :

Ellipse with center

(h, k) = (- 2, 3), b = 5, a = 4

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

\frac{5 ^{2} - 4 ^{2}}{5} = \frac{3}{5}

= \frac{3}{5}

ecce n t r i c i t y 18 x^{2} + 8 y^{2} + 36 x - 32 y - 22 = 0

ecce n t r i c i t y \frac{x ^{2}}{5} + \frac{y ^{2}}{4.58} = 1

ecce n t r i c i t y 3 x^{2} + 2 y^{2} - 12 x + 8 y + 19 = 0

ecce n t r i c i t y \frac{x ^{2}}{196} + \frac{y ^{2}}{121} = 1

ecce n t r i c i t y \frac{x ^{2}}{5} + \frac{y ^{2}}{20.98} = 1