y^3=64

Lösung

y^{3} = 64

y = 4, y = - 2 + 23 i, y = - 2 - 23 i

Schritte zur Lösung

y^{3} = 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}

y = 364, y = 364 \frac{- 1 + 3 i}{2}, y = 364 \frac{- 1 - 3 i}{2}

364 = 4

Vereinfache

364 \frac{- 1 + 3 i}{2} : - 2 + 23 i

Vereinfache

364 \frac{- 1 - 3 i}{2} : - 2 - 23 i

y = 4, y = - 2 + 23 i, y = - 2 - 23 i

x^{3} - 4 x^{2} - 4 x + 16 = 0

3 x (x - 4) (3 x + 5) = 0

66 = 8 \cdot m^{3}

x^{3} - 6 x^{2} + 21 x - 26 = 0

x^{2} = x^{3}