exzentrizität 9x^2-4y^2-90x-32y=-305

Lösung

exzentrizität

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

\frac{13}{3}

Dezimale

1.20185 \dots

Schritte zur Lösung

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

Calculate Hyperbola properties

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305 :

Up-down Hyperbola with

(h, k) = (5, - 4), a = 6, b = 4

= \frac{6 ^{2} + 4 ^{2}}{6}

Fasse zusammen

= \frac{13}{3}

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

ecce n t r i c i t y \frac{x ^{2}}{27} - \frac{y ^{2}}{72} = 1

ecce n t r i c i t y \frac{x ^{2}}{36} - \frac{y ^{2}}{9} = 1

ecce n t r i c i t y 25 x^{2} - 36 y^{2} = 900

ecce n t r i c i t y \frac{x ^{2}}{16} - \frac{y ^{2}}{81} = 1