x^3=0.027

Lösung

x^{3} = 0.027

x = \frac{3}{10}, x = - \frac{3}{20} + \frac{3 3}{20} i, x = - \frac{3}{20} - \frac{3 3}{20} i

Schritte zur Lösung

x^{3} = 0.027

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 0.027, x = 3 0.027 \frac{- 1 + 3 i}{2}, x = 3 0.027 \frac{- 1 - 3 i}{2}

3 0.027 = \frac{3}{10}

Vereinfache

3 0.027 \frac{- 1 + 3 i}{2} : - \frac{3}{20} + \frac{3 3}{20} i

Vereinfache

3 0.027 \frac{- 1 - 3 i}{2} : - \frac{3}{20} - \frac{3 3}{20} i

x = \frac{3}{10}, x = - \frac{3}{20} + \frac{3 3}{20} i, x = - \frac{3}{20} - \frac{3 3}{20} i

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

40 x^{3} - 36 x^{2} - 14 = 0

4 x^{4} = 18 x^{2}

x^{4} - x^{3} - x + 1 = 0

3 x^{3} + 2 x - 1 = 8 x^{2} - 4