1=x^3

Lösung

1 = x^{3}

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

Schritte zur Lösung

1 = x^{3}

Tausche die Seiten

x^{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}

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

Vereinfache

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

Vereinfache

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

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

x^{5} - x^{3} = 0

2 y^{3} - 4 y^{2} - 3 = 0

x^{2} (x + 9) = 0

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

x^{3} - 23 x^{2} = 0