exzentrizität 8x^2+4y^2+16x-12y-15=0

Lösung

exzentrizität

8 x^{2} + 4 y^{2} + 16 x - 12 y - 15 = 0

\frac{1}{2}

Dezimale

0.70710 \dots

Schritte zur Lösung

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

Calculate ellipse properties

8 x^{2} + 4 y^{2} + 16 x - 12 y - 15 = 0 :

Ellipse with center

(h, k) = (- 1, \frac{3}{2}), b = 22, a = 2

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

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

= \frac{1}{2}

ecce n t r i c i t y \frac{( x ) ^{2}}{49} + \frac{( y ) ^{2}}{36} = 1

ecce n t r i c i t y 16 x^{2} + 4 y^{2} + 96 x - 24 y + 116 = 0

ecce n t r i c i t y x^{2} + 4 y^{2} - 4 x - 8 y - 92 = 0

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

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