x^3= 1/2

Lösung

x^{3} = \frac{1}{2}

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} = \frac{1}{2}

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

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

Vereinfache

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

Vereinfache

3 \frac{1}{2} \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

x^{3} - 3 x^{2} - 3 x - 1 = 0

g^{5} = 0.536

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

x^{3} + x - 6 = 0

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