d^3=729

Lösung

d^{3} = 729

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

Schritte zur Lösung

d^{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}

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

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

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

so l v e f or z, z^{5} - 32 i = 0

2 (2 x - 5) - x^{2} + 17 x = 16 x^{4}

2 x^{3} - 9 x^{2} + 10 = 0

(x^{4} - 1) = 0