exzentrizität 49x^2-25y^2-686x-50y+2375=0

Lösung

exzentrizität

49 x^{2} - 25 y^{2} - 686 x - 50 y + 2375 = 0

\frac{74}{5}

Dezimale

1.72046 \dots

Schritte zur Lösung

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

Calculate Hyperbola properties

49 x^{2} - 25 y^{2} - 686 x - 50 y + 2375 = 0 :

Right-left Hyperbola with

(h, k) = (7, - 1), a = \frac{1}{7}, b = \frac{1}{5}

= \frac{( \frac{1}{7} ) ^{2} + ( \frac{1}{5} ) ^{2}}{\frac{1}{7}}

Fasse zusammen

= \frac{74}{5}

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

ecce n t r i c i t y 16 x^{2} - 25 y^{2} = 100

ecce n t r i c i t y 9 (y - 2)^{2} - 4 x^{2} = 36