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Beliebt Algebra >

a^3=125

Lösung

a^{3} = 125

Lösung

a = 5, a = - \frac{5}{2} + \frac{5 3}{2} i, a = - \frac{5}{2} - \frac{5 3}{2} i

Schritte zur Lösung

a^{3} = 125

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}

a = 3125, a = 3125 \frac{- 1 + 3 i}{2}, a = 3125 \frac{- 1 - 3 i}{2}

3125 = 5

Vereinfache

3125 \frac{- 1 + 3 i}{2} : - \frac{5}{2} + \frac{5 3}{2} i

Vereinfache

3125 \frac{- 1 - 3 i}{2} : - \frac{5}{2} - \frac{5 3}{2} i

a = 5, a = - \frac{5}{2} + \frac{5 3}{2} i, a = - \frac{5}{2} - \frac{5 3}{2} i

Graph

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