exzentrizität (y^2)/9-(x^2)/4 =1

Lösung

exzentrizität

\frac{y ^{2}}{9} - \frac{x ^{2}}{4} = 1

\frac{13}{3}

Dezimale

1.20185 \dots

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{y ^{2}}{9} - \frac{x ^{2}}{4} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 3, b = 2

= \frac{3 ^{2} + 2 ^{2}}{3}

Fasse zusammen

= \frac{13}{3}

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

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

ecce n t r i c i t y 9 x^{2} - 4 y^{2} - 18 x - 16 y - 43 = 0

ecce n t r i c i t y 225 x^{2} - 64 y^{2} = 14400

ecce n t r i c i t y \frac{x ^{2}}{4} - \frac{y ^{2}}{6} = - 1