x^3=6

Lösung

x^{3} = 6

x = 36, x = - 36 \frac{1}{2} + 36 \frac{3}{2} i, x = - 36 \frac{1}{2} - 36 \frac{3}{2} i

Schritte zur Lösung

x^{3} = 6

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 = 36, x = 36 \frac{- 1 + 3 i}{2}, x = 36 \frac{- 1 - 3 i}{2}

Vereinfache

36 \frac{- 1 + 3 i}{2} : - 36 \frac{1}{2} + 36 \frac{3}{2} i

Vereinfache

36 \frac{- 1 - 3 i}{2} : - 36 \frac{1}{2} - 36 \frac{3}{2} i

x = 36, x = - 36 \frac{1}{2} + 36 \frac{3}{2} i, x = - 36 \frac{1}{2} - 36 \frac{3}{2} i

2 x^{3} - 5 x^{2} - 10 x + 3 = 0

x^{4} = 2

x^{3} - 2 x^{2} - x - 1 = 0

z^{4} = 16

x^{6} + 65 x^{3} + 64 = 0