c^3=216

Lösung

c^{3} = 216

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

Schritte zur Lösung

c^{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}

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

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

x^{4} + 4 x^{3} + 5 x^{2} + 2 = 0

z^{8} = 8

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

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

8 x^{4} - 2 x^{2} = 0