exzentrizität ((x-1)^2)/4-((y-2)^2)/1 =1

Lösung

exzentrizität

\frac{( x - 1 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{1} = 1

\frac{5}{2}

Dezimale

1.11803 \dots

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{( x - 1 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{1} = 1 :

Right-left Hyperbola with

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

= \frac{2 ^{2} + 1 ^{2}}{2}

Fasse zusammen

= \frac{5}{2}

ecce n t r i c i t y 9 x^{2} - 36 x - 4 y^{2} - 24 y - 36 = 0

ecce n t r i c i t y \frac{x ^{2}}{16} - \frac{y ^{2}}{20} = 1

ecce n t r i c i t y 16 x^{2} - 25 y^{2} = 400

ecce n t r i c i t y 16 x^{2} - 9 y^{2} = 144

ecce n t r i c i t y 4 x^{2} - y^{2} - 24 x - 4 y + 28 = 0