k^3=216

Lösung

k^{3} = 216

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

Schritte zur Lösung

k^{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}

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

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

2 y^{2} (y^{2} - 2) = 18 + y^{2}

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

9 x^{4} + 8 0^{2} - 9 = 0

x^{4} - 6 x^{3} + 3 x^{2} + 26 x - 24 = 0

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