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Beliebt Algebra >

x^3= 1/64

Lösung

x^{3} = \frac{1}{64}

Lösung

x = \frac{1}{4}, x = - \frac{1}{8} + \frac{3}{8} i, x = - \frac{1}{8} - \frac{3}{8} i

Schritte zur Lösung

x^{3} = \frac{1}{64}

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 \frac{1}{64}, x = 3 \frac{1}{64} \frac{- 1 + 3 i}{2}, x = 3 \frac{1}{64} \frac{- 1 - 3 i}{2}

3 \frac{1}{64} = \frac{1}{4}

Vereinfache

3 \frac{1}{64} \frac{- 1 + 3 i}{2} : - \frac{1}{8} + \frac{3}{8} i

Vereinfache

3 \frac{1}{64} \frac{- 1 - 3 i}{2} : - \frac{1}{8} - \frac{3}{8} i

x = \frac{1}{4}, x = - \frac{1}{8} + \frac{3}{8} i, x = - \frac{1}{8} - \frac{3}{8} i

Graph

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