z^3=-1

Lösung

z^{3} = - 1

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

Schritte zur Lösung

z^{3} = - 1

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}

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

3 - 1 = - 1

Vereinfache

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

Vereinfache

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

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

(x + 2) (x + 4) (x + 6) (x + 12) + 4 x^{2} = 0

- x^{3} + 7 x - 6 = 0

(4 x - 5)^{4} = 81

m^{3} + 1 = 0

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