x^3=-216

Lösung

x^{3} = - 216

x = - 6, x = 3 - 33 i, x = 3 + 33 i

Schritte zur Lösung

x^{3} = - 216

Für

x^{3} = f (a)

sind die Lösungen

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

x = 3 - 216, x = 3 - 216 \frac{- 1 + 3 i}{2}, x = 3 - 216 \frac{- 1 - 3 i}{2}

3 - 216 = - 6

Vereinfache

3 - 216 \frac{- 1 + 3 i}{2} : 3 - 33 i

Vereinfache

3 - 216 \frac{- 1 - 3 i}{2} : 3 + 33 i

x = - 6, x = 3 - 33 i, x = 3 + 33 i

10 x^{4} - 13 x^{3} + 15 x^{2} - 18 x - 24 = 0

(x + 3)^{3} = 6 + 4

m^{3} - 3 m^{2} + 4 m - 2 = 0

x^{4} - x^{2} - 6 = 0

9 x^{3} - 3 x^{2} - 3 x - 1 = 0