z^3=4

Lösung

z^{3} = 4

z = 34, z = - 34 \frac{1}{2} + 34 \frac{3}{2} i, z = - 34 \frac{1}{2} - 34 \frac{3}{2} i

Schritte zur Lösung

z^{3} = 4

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 = 34, z = 34 \frac{- 1 + 3 i}{2}, z = 34 \frac{- 1 - 3 i}{2}

Vereinfache

34 \frac{- 1 + 3 i}{2} : - 34 \frac{1}{2} + 34 \frac{3}{2} i

Vereinfache

34 \frac{- 1 - 3 i}{2} : - 34 \frac{1}{2} - 34 \frac{3}{2} i

z = 34, z = - 34 \frac{1}{2} + 34 \frac{3}{2} i, z = - 34 \frac{1}{2} - 34 \frac{3}{2} i

z^{3} = 0

\frac{x ^{3}}{i} - 27 = 0

x^{2} (5 x - 7) (3 x + 2) = 0

x^{3} - 3 x^{2} - 9 x + 21 = 0

t^{3} = 30