g^3=8

Lösung

g^{3} = 8

g = 2, g = - 1 + 3 i, g = - 1 - 3 i

Schritte zur Lösung

g^{3} = 8

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}

g = 38, g = 38 \frac{- 1 + 3 i}{2}, g = 38 \frac{- 1 - 3 i}{2}

38 = 2

Vereinfache

38 \frac{- 1 + 3 i}{2} : - 1 + 3 i

Vereinfache

38 \frac{- 1 - 3 i}{2} : - 1 - 3 i

g = 2, g = - 1 + 3 i, g = - 1 - 3 i

8 x^{5} - 32 x = 0

x (x - 1) (x + 3) = 0

z^{4} = 16 i

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

(x - 5)^{4} = 256