u^3=8000

Lösung

u^{3} = 8000

u = 20, u = - 10 + 103 i, u = - 10 - 103 i

Schritte zur Lösung

u^{3} = 8000

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}

u = 38000, u = 38000 \frac{- 1 + 3 i}{2}, u = 38000 \frac{- 1 - 3 i}{2}

38000 = 20

Vereinfache

38000 \frac{- 1 + 3 i}{2} : - 10 + 103 i

Vereinfache

38000 \frac{- 1 - 3 i}{2} : - 10 - 103 i

u = 20, u = - 10 + 103 i, u = - 10 - 103 i

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

x^{3} + 5 x - 26 = 0

(x + 1)^{3} = - 8

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

2 x^{3} - 4 x^{2} - 7 x = - x^{2} + x + 3