n^3=216

Lösung

n^{3} = 216

n = 6, n = - 3 + 33 i, n = - 3 - 33 i

Schritte zur Lösung

n^{3} = 216

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}

n = 3216, n = 3216 \frac{- 1 + 3 i}{2}, n = 3216 \frac{- 1 - 3 i}{2}

3216 = 6

Vereinfache

3216 \frac{- 1 + 3 i}{2} : - 3 + 33 i

Vereinfache

3216 \frac{- 1 - 3 i}{2} : - 3 - 33 i

n = 6, n = - 3 + 33 i, n = - 3 - 33 i

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

2 x^{3} - 7 x^{2} + 7 x - 2 = 0

4 x^{4} - 5 x^{2} + 1 = 0

y^{4} - 13 y^{2} + 36 = 0

x^{6} + 63 x^{3} - 64 = 0