x^3=-1000

Lösung

x^{3} = - 1000

x = - 10, x = 5 - 53 i, x = 5 + 53 i

Schritte zur Lösung

x^{3} = - 1000

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 - 1000, x = 3 - 1000 \frac{- 1 + 3 i}{2}, x = 3 - 1000 \frac{- 1 - 3 i}{2}

3 - 1000 = - 10

Vereinfache

3 - 1000 \frac{- 1 + 3 i}{2} : 5 - 53 i

Vereinfache

3 - 1000 \frac{- 1 - 3 i}{2} : 5 + 53 i

x = - 10, x = 5 - 53 i, x = 5 + 53 i

z^{4} = - 7 + 24 i

4 x^{3} - 9 x^{2} + 6 x = 0

so l v e f or x, x^{3} = 7 x

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

x^{4} - 7 x^{2} + 6 x = 0