2^6=x^3

Lösung

2^{6} = x^{3}

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

Schritte zur Lösung

2^{6} = x^{3}

Tausche die Seiten

x^{3} = 2^{6}

2^{6} = 64

x^{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}

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

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

6 x^{3} + 27 x^{2} - 54 x = 0

4 y^{3} - 7 y^{2} + 28 = 16 y

x^{4} + 2 x^{3} + 6 x^{2} + 8 x + 8 = 0

w^{3} = 216

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