exzentrizität 9x^2-4y^2-54x-8y+113=0

Lösung

exzentrizität

9 x^{2} - 4 y^{2} - 54 x - 8 y + 113 = 0

\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} - 54 x - 8 y + 113 = 0 :

Up-down Hyperbola with

(h, k) = (3, - 1), a = 3, b = 2

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

Fasse zusammen

= \frac{13}{3}

ecce n t r i c i t y \frac{x ^{2}}{49} - \frac{y ^{2}}{4} = 1

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

ecce n t r i c i t y 9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

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