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Beliebt Algebra >

r^3=-1

Lösung

r^{3} = - 1

Lösung

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

Schritte zur Lösung

r^{3} = - 1

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}

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

3 - 1 = - 1

Vereinfache

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

Vereinfache

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

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

Graph

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r^3-3r^2+2r-1=0

r^{3} - 3 r^{2} + 2 r - 1 = 0