x^3=0.125

Lösung

x^{3} = 0.125

x = \frac{1}{2}, x = - \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i

Schritte zur Lösung

x^{3} = 0.125

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 0.125, x = 3 0.125 \frac{- 1 + 3 i}{2}, x = 3 0.125 \frac{- 1 - 3 i}{2}

3 0.125 = \frac{1}{2}

Vereinfache

3 0.125 \frac{- 1 + 3 i}{2} : - \frac{1}{4} + \frac{3}{4} i

Vereinfache

3 0.125 \frac{- 1 - 3 i}{2} : - \frac{1}{4} - \frac{3}{4} i

x = \frac{1}{2}, x = - \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i

x^{3} + 5 x + 6 = 0

x^{4} - 6 x^{3} + 13 x^{2} - 12 x + 4 = 0

x^{3} - 6 x^{2} + 7 x + 4 = 0

x^{3} = 0.027

d^{5} + 27 d^{2} = 0