exzentrizität-9x^2+8y^2+36x+48y=36

Lösung

exzentrizität

- 9 x^{2} + 8 y^{2} + 36 x + 48 y = 36

\frac{17}{3}

Dezimale

1.37436 \dots

Schritte zur Lösung

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

Calculate Hyperbola properties

- 9 x^{2} + 8 y^{2} + 36 x + 48 y = 36 :

Up-down Hyperbola with

(h, k) = (2, - 3), a = 3, b = 22

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

Fasse zusammen

= \frac{17}{3}

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

ecce n t r i c i t y \frac{x ^{2}}{9} - \frac{( y - 2 ) ^{2}}{4} = 1

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

ecce n t r i c i t y - 9 x^{2} + y^{2} - 72 x - 153 = 0

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