z^3=64

Lösung

z^{3} = 64

z = 4, z = - 2 + 23 i, z = - 2 - 23 i

Schritte zur Lösung

z^{3} = 64

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}

z = 364, z = 364 \frac{- 1 + 3 i}{2}, z = 364 \frac{- 1 - 3 i}{2}

364 = 4

Vereinfache

364 \frac{- 1 + 3 i}{2} : - 2 + 23 i

Vereinfache

364 \frac{- 1 - 3 i}{2} : - 2 - 23 i

z = 4, z = - 2 + 23 i, z = - 2 - 23 i

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

1000 = x (30 - 2 x) (20 - 2 x)

(x - 1)^{4} + 5 (x - 1)^{2} + 9 = 0

so l v e f or x, y^{2} = x^{3} + 7

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