exzentrizität 16x^2-25y^2=64

Lösung

exzentrizität

16 x^{2} - 25 y^{2} = 64

\frac{41}{5}

Dezimale

1.28062 \dots

Schritte zur Lösung

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

Calculate Hyperbola properties

16 x^{2} - 25 y^{2} = 64 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 2, b = \frac{8}{5}

= \frac{2 ^{2} + ( \frac{8}{5} ) ^{2}}{2}

Fasse zusammen

= \frac{41}{5}

ecce n t r i c i t y 25 x^{2} - 9 y^{2} = 225

ecce n t r i c i t y 9 x^{2} - 16 y^{2} = 64

ecce n t r i c i t y \frac{x ^{2}}{45} - \frac{y ^{2}}{360} = 1

ecce n t r i c i t y \frac{x ^{2}}{81} - \frac{y ^{2}}{9} = 1

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