x^3=0.5

Lösung

x^{3} = 0.5

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

Schritte zur Lösung

x^{3} = 0.5

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 0.5, x = 3 0.5 \frac{- 1 + 3 i}{2}, x = 3 0.5 \frac{- 1 - 3 i}{2}

3 0.5 = \frac{1}{3 2}

Vereinfache

3 0.5 \frac{- 1 + 3 i}{2} : - \frac{1}{2 3 2} + \frac{3}{2 3 2} i

Vereinfache

3 0.5 \frac{- 1 - 3 i}{2} : - \frac{1}{2 3 2} - \frac{3}{2 3 2} i

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

m^{6} + 1 = 0

8 k^{6} + 15 k^{3} - 2 = 0

(\frac{x - 1}{3})^{3} = (\frac{1}{5})^{6}

(x + 1)^{3} + (x + 2)^{3} + (x + 3)^{3} + (x + 4)^{3} = (x + 5)^{3}

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