exzentrizität 4x^2+3y^2-8x+18y+19=0

Lösung

exzentrizität

4 x^{2} + 3 y^{2} - 8 x + 18 y + 19 = 0

\frac{1}{2}

Dezimale

0.5

Schritte zur Lösung

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

Calculate ellipse properties

4 x^{2} + 3 y^{2} - 8 x + 18 y + 19 = 0 :

Ellipse with center

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

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

\frac{2 ^{2} - ( 3 ) ^{2}}{2} = \frac{1}{2}

= \frac{1}{2}

ecce n t r i c i t y \frac{x ^{2}}{25} + \frac{( y + 3 ) ^{2}}{49} = 1

ecce n t r i c i t y 36 x^{2} + 9 y^{2} + 36 y - 288 = 0

ecce n t r i c i t y 16 x^{2} + 25 y^{2} - 96 x + 100 y - 156 = 0

ecce n t r i c i t y 12 x^{2} + 8 y^{2} = 96

ecce n t r i c i t y 14 x^{2} + 8 y^{2} = 112