(2z-i)^3=3sqrt(3)

Lösung

(2 z - i)^{3} = 33

z = \frac{3}{2} + i \frac{1}{2}, z = - \frac{3}{4} + i \frac{5}{4}, z = - \frac{3}{4} - i \frac{1}{4}

Schritte zur Lösung

(2 z - i)^{3} = 33

Für

g^{3} (x) = f (a)

sind die Lösungen

g (x) = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

Löse

2 z - i = 333 : z = \frac{3}{2} + i \frac{1}{2}

Löse

2 z - i = 333 \frac{- 1 + 3 i}{2} : z = - \frac{3}{4} + i \frac{5}{4}

Löse

2 z - i = 333 \frac{- 1 - 3 i}{2} : z = - \frac{3}{4} - i \frac{1}{4}

Die Lösungen sind

z = \frac{3}{2} + i \frac{1}{2}, z = - \frac{3}{4} + i \frac{5}{4}, z = - \frac{3}{4} - i \frac{1}{4}

roo t s x^{3} + 1

x^{7} - x^{4} - x^{3} + 1 = 0

x^{3} - 75 x - 250 = 0

12 x^{3} - 3 x^{2} = 0

2 x^{4} = 9 x^{2}