x^3=729

Lösung

x^{3} = 729

x = 9, x = - \frac{9}{2} + \frac{9 3}{2} i, x = - \frac{9}{2} - \frac{9 3}{2} i

Schritte zur Lösung

x^{3} = 729

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 = 3729, x = 3729 \frac{- 1 + 3 i}{2}, x = 3729 \frac{- 1 - 3 i}{2}

3729 = 9

Vereinfache

3729 \frac{- 1 + 3 i}{2} : - \frac{9}{2} + \frac{9 3}{2} i

Vereinfache

3729 \frac{- 1 - 3 i}{2} : - \frac{9}{2} - \frac{9 3}{2} i

x = 9, x = - \frac{9}{2} + \frac{9 3}{2} i, x = - \frac{9}{2} - \frac{9 3}{2} i

x^{3} - 6 x^{2} + 3 x + 10 = 0

x^{3} + 125 = 0

x^{3} - 6 x^{2} + 12 x - 8 = 0

x^{3} + 5 x^{2} - 4 x - 20 = 0

w^{6} = - 2^{6}