(x-5)^3=1

Lösung

(x - 5)^{3} = 1

x = 6, x = \frac{9}{2} + i \frac{3}{2}, x = \frac{9}{2} - i \frac{3}{2}

Schritte zur Lösung

(x - 5)^{3} = 1

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 - 5 = 1 : x = 6

Löse

x - 5 = \frac{- 1 + 3 i}{2} : x = \frac{9}{2} + i \frac{3}{2}

Löse

x - 5 = \frac{- 1 - 3 i}{2} : x = \frac{9}{2} - i \frac{3}{2}

Die Lösungen sind

x = 6, x = \frac{9}{2} + i \frac{3}{2}, x = \frac{9}{2} - i \frac{3}{2}

(x - 5)^{4} - (5 - x)^{2} = 0

x^{4} - 5 x^{2} = 4

t^{3} + 2 t = 400

9 x - x^{3} = 0

5.3 \cdot 1 0^{- 9} = (y) (2 y)^{2}