w^3=81

Lösung

w^{3} = 81

w = 333, w = \frac{3 ( - 3 3 + 6 3 ^{5} i )}{2}, w = \frac{3 ( - 3 3 - 6 3 ^{5} i )}{2}

Schritte zur Lösung

w^{3} = 81

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}

w = 381, w = 381 \frac{- 1 + 3 i}{2}, w = 381 \frac{- 1 - 3 i}{2}

381 = 333

Vereinfache

381 \frac{- 1 + 3 i}{2} : \frac{3 ( - 3 3 + 6 3 ^{5} i )}{2}

Vereinfache

381 \frac{- 1 - 3 i}{2} : \frac{3 ( - 3 3 - 6 3 ^{5} i )}{2}

w = 333, w = \frac{3 ( - 3 3 + 6 3 ^{5} i )}{2}, w = \frac{3 ( - 3 3 - 6 3 ^{5} i )}{2}

7 x^{3} - 2 x^{2} + 6 x - 2 = 0

(2 - i) z^{4} + 1 - 2 i = 0

λ^{3} - 14 λ^{2} + 9 λ - 110 = 0

x^{2} (x + 2) (x + 6) = 0

625 = 5 x^{3}