8/125 =x^3

Lösung

\frac{8}{125} = x^{3}

x = \frac{2}{5}, x = - \frac{1}{5} + \frac{3}{5} i, x = - \frac{1}{5} - \frac{3}{5} i

Schritte zur Lösung

\frac{8}{125} = x^{3}

Tausche die Seiten

x^{3} = \frac{8}{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 \frac{8}{125}, x = 3 \frac{8}{125} \frac{- 1 + 3 i}{2}, x = 3 \frac{8}{125} \frac{- 1 - 3 i}{2}

3 \frac{8}{125} = \frac{2}{5}

Vereinfache

3 \frac{8}{125} \frac{- 1 + 3 i}{2} : - \frac{1}{5} + \frac{3}{5} i

Vereinfache

3 \frac{8}{125} \frac{- 1 - 3 i}{2} : - \frac{1}{5} - \frac{3}{5} i

x = \frac{2}{5}, x = - \frac{1}{5} + \frac{3}{5} i, x = - \frac{1}{5} - \frac{3}{5} i

x^{3} - 3 x - 2.1 = 0

9 x^{3} = 7 x^{2}

x^{3} + 2 x - 5 = 0

(y^{2} - 8)^{2} + 4 (y^{2} - 8) - 5 = 0

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