y^3=-1

Lösung

y^{3} = - 1

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

Schritte zur Lösung

y^{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}

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

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

y^{3} = - 8

x^{3} - x^{2} - 2 = 3

x^{3} - 3 x - 2.2 = 0

x^{3} - 4 x^{2} - 10 x + 40 = 0

x^{3} + 5 x^{2} + 4 x + 4 = 0