8=x^3

Lösung

8 = x^{3}

x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Schritte zur Lösung

8 = x^{3}

Tausche die Seiten

x^{3} = 8

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 = 38, x = 38 \frac{- 1 + 3 i}{2}, x = 38 \frac{- 1 - 3 i}{2}

38 = 2

Vereinfache

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

Vereinfache

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

x = 2, x = - 1 + 3 i, x = - 1 - 3 i

x^{3} - x + 3 = 0

3 x^{3} - 6 x^{2} - 27 x + 54 = 0

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

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

x^{2} (x - 1) = 0