x^3=e^6

Lösung

x^{3} = e^{6}

x = e^{2}, x = - \frac{e ^{2}}{2} + i \frac{3 e ^{2}}{2}, x = - \frac{e ^{2}}{2} - i \frac{3 e ^{2}}{2}

Schritte zur Lösung

x^{3} = e^{6}

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 = 3 e^{6}, x = 3 e^{6} \frac{- 1 + 3 i}{2}, x = 3 e^{6} \frac{- 1 - 3 i}{2}

3 e^{6} = e^{2}

Vereinfache

3 e^{6} \frac{- 1 + 3 i}{2} : - \frac{e ^{2}}{2} + i \frac{3 e ^{2}}{2}

Vereinfache

3 e^{6} \frac{- 1 - 3 i}{2} : - \frac{e ^{2}}{2} - i \frac{3 e ^{2}}{2}

x = e^{2}, x = - \frac{e ^{2}}{2} + i \frac{3 e ^{2}}{2}, x = - \frac{e ^{2}}{2} - i \frac{3 e ^{2}}{2}

(9 x^{2} + 1)^{2} = 0

2 z^{6} - 15 z^{3} - 27 = 0

(x^{2} + 7 x + 49) (x - 7) = 218

4 x^{3} - 2 x^{2} + 3 x - 1 = 0

x^{3} + 3 x^{2} - 58 = 0