(x+2)^3=27

Lösung

(x + 2)^{3} = 27

x = 1, x = - \frac{7}{2} + i \frac{3 3}{2}, x = - \frac{7}{2} - i \frac{3 3}{2}

Schritte zur Lösung

(x + 2)^{3} = 27

Für

g^{3} (x) = f (a)

sind die Lösungen

g (x) = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

Löse

x + 2 = 327 : x = 1

Löse

x + 2 = 327 \frac{- 1 + 3 i}{2} : x = - \frac{7}{2} + i \frac{3 3}{2}

Löse

x + 2 = 327 \frac{- 1 - 3 i}{2} : x = - \frac{7}{2} - i \frac{3 3}{2}

Die Lösungen sind

x = 1, x = - \frac{7}{2} + i \frac{3 3}{2}, x = - \frac{7}{2} - i \frac{3 3}{2}

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

- 2 x^{3} = 0

(x + 4) (x + 2) (x - 1) (x - 3) = 0

2 x^{3} + 7 x^{2} + 4 x - 4 = 0

x (x - 1)^{2} = - (x - 1) (3 x + 2)