exzentrizität 16x^2-9y^2-64x-18y+199=0

Lösung

exzentrizität

16 x^{2} - 9 y^{2} - 64 x - 18 y + 199 = 0

\frac{5}{4}

Dezimale

1.25

Schritte zur Lösung

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

Calculate Hyperbola properties

16 x^{2} - 9 y^{2} - 64 x - 18 y + 199 = 0 :

Up-down Hyperbola with

(h, k) = (2, - 1), a = 4, b = 3

= \frac{4 ^{2} + 3 ^{2}}{4}

Fasse zusammen

= \frac{5}{4}

ecce n t r i c i t y \frac{x ^{2}}{4} - \frac{y ^{2}}{16} = 1

ecce n t r i c i t y 49 x^{2} - 25 y^{2} - 686 x - 50 y + 2375 = 0

ecce n t r i c i t y \frac{y ^{2}}{25} - \frac{( x + 1 ) ^{2}}{16} = 1

ecce n t r i c i t y + \frac{y ^{2}}{16} - \frac{x ^{2}}{9} = 1

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