x^3=24

Lösung

x^{3} = 24

x = 233, x = - 33 + 6 3^{5} i, x = - 33 - 6 3^{5} i

Schritte zur Lösung

x^{3} = 24

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}

x = 324, x = 324 \frac{- 1 + 3 i}{2}, x = 324 \frac{- 1 - 3 i}{2}

324 = 233

Vereinfache

324 \frac{- 1 + 3 i}{2} : - 33 + 6 3^{5} i

Vereinfache

324 \frac{- 1 - 3 i}{2} : - 33 - 6 3^{5} i

x = 233, x = - 33 + 6 3^{5} i, x = - 33 - 6 3^{5} i

z^{5} = 4 + 4 i

x^{3} = 36

3 x^{25} x - 2 = 0

x^{4} - 10 x^{2} + 16 = 0

2 x^{4} - 2^{\frac{1}{2}} x^{3} - 32 x^{2} + 8 \cdot 2^{\frac{1}{2}} x + 128 = 0