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Beliebt Algebra >

x^3=-3

Lösung

x^{3} = - 3

Lösung

x = - 33, x = \frac{3 3}{2} - \frac{6 3 ^{5}}{2} i, x = \frac{3 3}{2} + \frac{6 3 ^{5}}{2} i

Schritte zur Lösung

x^{3} = - 3

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

3 - 3 = - 33

Vereinfache

3 - 3 \frac{- 1 + 3 i}{2} : \frac{3 3}{2} - \frac{6 3 ^{5}}{2} i

Vereinfache

3 - 3 \frac{- 1 - 3 i}{2} : \frac{3 3}{2} + \frac{6 3 ^{5}}{2} i

x = - 33, x = \frac{3 3}{2} - \frac{6 3 ^{5}}{2} i, x = \frac{3 3}{2} + \frac{6 3 ^{5}}{2} i

Graph

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