x^3=1331

Lösung

x^{3} = 1331

x = 11, x = - \frac{11}{2} + \frac{11 3}{2} i, x = - \frac{11}{2} - \frac{11 3}{2} i

Schritte zur Lösung

x^{3} = 1331

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 = 31331, x = 31331 \frac{- 1 + 3 i}{2}, x = 31331 \frac{- 1 - 3 i}{2}

31331 = 11

Vereinfache

31331 \frac{- 1 + 3 i}{2} : - \frac{11}{2} + \frac{11 3}{2} i

Vereinfache

31331 \frac{- 1 - 3 i}{2} : - \frac{11}{2} - \frac{11 3}{2} i

x = 11, x = - \frac{11}{2} + \frac{11 3}{2} i, x = - \frac{11}{2} - \frac{11 3}{2} i

r^{3} = 64

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

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

2 x^{3} - 7 x^{2} + 8 x - 3 = 0

7 x^{3} = - 28 x