a^3=8

Lösung

a^{3} = 8

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

Schritte zur Lösung

a^{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}

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

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

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

x^{15} = x^{2}

(22 - 15)^{5} = (2 x - 15)^{3}

216 x^{6} - 793 x + 216 = 0

8 x^{3} - 84 x^{2} + 262 x - 231 = 0