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Beliebt Algebra >

(x-1)^3=1

Lösung

(x - 1)^{3} = 1

Lösung

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

Schritte zur Lösung

(x - 1)^{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 - 1 = 1 : x = 2

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

6 x^{3} + 13 x^{2} - 4 = 0

2x^3-7x^2-6x+8=0

2 x^{3} - 7 x^{2} - 6 x + 8 = 0

solvefor x,x^4-6x^2+12=7

so l v e f or x, x^{4} - 6 x^{2} + 12 = 7

25x^4-61x^2+36=0

25 x^{4} - 61 x^{2} + 36 = 0

solvefor y=x^3,x

so l v e f or y = x^{3}, x