exzentrizität 16x^2+9y^2+160x-72y+544=144

Lösung

exzentrizität

16 x^{2} + 9 y^{2} + 160 x - 72 y + 544 = 144

\frac{7}{4}

Dezimale

0.66143 \dots

Schritte zur Lösung

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

Calculate ellipse properties

16 x^{2} + 9 y^{2} + 160 x - 72 y + 544 = 144 :

Ellipse with center

(h, k) = (- 5, 4), b = 4, a = 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 \frac{x ^{2}}{25} + \frac{y ^{2}}{64} = 1

ecce n t r i c i t y x^{2} + 9 y^{2} + 16 x + 18 y + 64 = 0

ecce n t r i c i t y x^{2} + 42 y^{2} = 42

ecce n t r i c i t y \frac{( x - 4 ) ^{2}}{2} + \frac{( y - 4 ) ^{2}}{3} = 1

ecce n t r i c i t y 4 x^{2} + 49 y^{2} = 196