x^3=-0.49

Lösung

x^{3} = - 0.49

x = - 3 \frac{49}{100}, x = - \frac{3 49 ( - 1 + 3 i )}{2 3 100}, x = - \frac{3 49 ( - 1 - 3 i )}{2 3 100}

Schritte zur Lösung

x^{3} = - 0.49

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 - 0.49, x = 3 - 0.49 \frac{- 1 + 3 i}{2}, x = 3 - 0.49 \frac{- 1 - 3 i}{2}

3 - 0.49 = - 3 \frac{49}{100}

Vereinfache

3 - 0.49 \frac{- 1 + 3 i}{2} : - \frac{3 49 ( - 1 + 3 i )}{2 3 100}

Vereinfache

3 - 0.49 \frac{- 1 - 3 i}{2} : - \frac{3 49 ( - 1 - 3 i )}{2 3 100}

x = - 3 \frac{49}{100}, x = - \frac{3 49 ( - 1 + 3 i )}{2 3 100}, x = - \frac{3 49 ( - 1 - 3 i )}{2 3 100}

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

x^{3} - 3 x^{2} - 18 x + 54 = 0

2 x^{3} - 8 x = 0

x^{6} = x^{4}

z^{4} + i = 0