27=t^3

Lösung

27 = t^{3}

t = 3, t = - \frac{3}{2} + \frac{3 3}{2} i, t = - \frac{3}{2} - \frac{3 3}{2} i

Schritte zur Lösung

27 = t^{3}

Tausche die Seiten

t^{3} = 27

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}

t = 327, t = 327 \frac{- 1 + 3 i}{2}, t = 327 \frac{- 1 - 3 i}{2}

327 = 3

Vereinfache

327 \frac{- 1 + 3 i}{2} : - \frac{3}{2} + \frac{3 3}{2} i

Vereinfache

327 \frac{- 1 - 3 i}{2} : - \frac{3}{2} - \frac{3 3}{2} i

t = 3, t = - \frac{3}{2} + \frac{3 3}{2} i, t = - \frac{3}{2} - \frac{3 3}{2} i

(r^{2} + 1)^{4} = 0

- 5 x^{1} + 8 x^{2} + 10 x^{3} = - 8

3 x^{3} - 2 = 0

x^{4} - 6 x^{2} + 8 x - 1 = 0

so l v e f or a, (a - b)^{3} = 0