exzentrizität (x^2)/(25)+(y^2)/(64)=1

Lösung

exzentrizität

\frac{x ^{2}}{25} + \frac{y ^{2}}{64} = 1

\frac{39}{8}

Dezimale

0.78062 \dots

Schritte zur Lösung

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

Calculate ellipse properties

\frac{x ^{2}}{25} + \frac{y ^{2}}{64} = 1 :

Ellipse with center

(h, k) = (0, 0), b = 8, a = 5

= \frac{8 ^{2} - 5 ^{2}}{8}

\frac{8 ^{2} - 5 ^{2}}{8} = \frac{39}{8}

= \frac{39}{8}

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

ecce n t r i c i t y \frac{( x + 4 ) ^{2}}{\frac{25}{4}} + (y - 6)^{2} = 1