x^3=-27

Lösung

x^{3} = - 27

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

Schritte zur Lösung

x^{3} = - 27

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 = 3 - 27, x = 3 - 27 \frac{- 1 + 3 i}{2}, x = 3 - 27 \frac{- 1 - 3 i}{2}

3 - 27 = - 3

Vereinfache

3 - 27 \frac{- 1 + 3 i}{2} : \frac{3}{2} - \frac{3 3}{2} i

Vereinfache

3 - 27 \frac{- 1 - 3 i}{2} : \frac{3}{2} + \frac{3 3}{2} i

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

x^{3} + x = 16

\frac{35 x ^{15}}{2} = \frac{( x + 70 )}{14 - 40}

7 x^{3} - 168 x^{2} + 2048 = 0

2 x^{24} x - 16 = 2

25 = 15 (1 + r)^{5}