w^3=216

Lösung

w^{3} = 216

w = 6, w = - 3 + 33 i, w = - 3 - 33 i

Schritte zur Lösung

w^{3} = 216

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}

w = 3216, w = 3216 \frac{- 1 + 3 i}{2}, w = 3216 \frac{- 1 - 3 i}{2}

3216 = 6

Vereinfache

3216 \frac{- 1 + 3 i}{2} : - 3 + 33 i

Vereinfache

3216 \frac{- 1 - 3 i}{2} : - 3 - 33 i

w = 6, w = - 3 + 33 i, w = - 3 - 33 i

2 x^{5} - 5 x^{2} + 1 = 0

0 = - x^{3} + 15 x^{2} - 63 x + 49

8 x^{3} - 12 x^{2} + 6 x - 1 = 0

3 x^{3} + 6 x - 5 = 0

- x^{3} + 7 x^{2} - 11 x + 5 = 0