(x-2)^3=4

Lösung

(x - 2)^{3} = 4

x = 34 + 2, x = \frac{4 - 3 4}{2} + i \frac{3 4 3}{2}, x = \frac{4 - 3 4}{2} - i \frac{3 4 3}{2}

Schritte zur Lösung

(x - 2)^{3} = 4

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 = 34 : x = 34 + 2

Löse

x - 2 = 34 \frac{- 1 + 3 i}{2} : x = \frac{4 - 3 4}{2} + i \frac{3 4 3}{2}

Löse

x - 2 = 34 \frac{- 1 - 3 i}{2} : x = \frac{4 - 3 4}{2} - i \frac{3 4 3}{2}

Die Lösungen sind

x = 34 + 2, x = \frac{4 - 3 4}{2} + i \frac{3 4 3}{2}, x = \frac{4 - 3 4}{2} - i \frac{3 4 3}{2}

0 = x^{4} - 36

(x^{2} - 8) (x^{2} - 1) = 8

so l v e f or x, x^{3} + 3 s - 4 = 0

- 2 b^{5} = 64

x^{4} + 3 x + 1 = 0