exzentrizität 4x^2-9y^2+32x+36y+64=0

Lösung

exzentrizität

4 x^{2} - 9 y^{2} + 32 x + 36 y + 64 = 0

\frac{13}{2}

Dezimale

1.80277 \dots

Schritte zur Lösung

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

Calculate Hyperbola properties

4 x^{2} - 9 y^{2} + 32 x + 36 y + 64 = 0 :

Up-down Hyperbola with

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

= \frac{2 ^{2} + 3 ^{2}}{2}

Fasse zusammen

= \frac{13}{2}

ecce n t r i c i t y 9 x^{2} - 16 y^{2} = 4

ecce n t r i c i t y \frac{x ^{2}}{27} - \frac{y ^{2}}{360} = 1

ecce n t r i c i t y 9 x^{2} - 4 y^{2} - 54 x - 8 y + 113 = 0

ecce n t r i c i t y \frac{x ^{2}}{49} - \frac{y ^{2}}{4} = 1

ecce n t r i c i t y 9 \cdot x^{2} - 9 \cdot y^{2} = 9