exzentrizität 9x^2+16y^2-54x+64y+1=0

Lösung

exzentrizität

9 x^{2} + 16 y^{2} - 54 x + 64 y + 1 = 0

\frac{7}{4}

Dezimale

0.66143 \dots

Schritte zur Lösung

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

Calculate ellipse properties

9 x^{2} + 16 y^{2} - 54 x + 64 y + 1 = 0 :

Ellipse with center

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

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

\frac{4 ^{2} - 3 ^{2}}{4} = \frac{7}{4}

= \frac{7}{4}

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

ecce n t r i c i t y 4 x^{2} + 3 y^{2} - 24 x + 18 y + 51 = 0

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

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

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