c^3=-64

Lösung

c^{3} = - 64

c = - 4, c = 2 - 23 i, c = 2 + 23 i

Schritte zur Lösung

c^{3} = - 64

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}

c = 3 - 64, c = 3 - 64 \frac{- 1 + 3 i}{2}, c = 3 - 64 \frac{- 1 - 3 i}{2}

3 - 64 = - 4

Vereinfache

3 - 64 \frac{- 1 + 3 i}{2} : 2 - 23 i

Vereinfache

3 - 64 \frac{- 1 - 3 i}{2} : 2 + 23 i

c = - 4, c = 2 - 23 i, c = 2 + 23 i

x^{4} + 6 x^{3} + 3 x^{2} - 16 x + 6 = 0

- x^{3} - 6 x^{2} - 12 x - 8 = 0

x^{3} + 5 x^{2} - 6 x = 0

2 (x + 6) (x^{2} + 36) = 0

- x^{3} + 5 x^{2} - 3 x = 1