w^3=343

Lösung

w^{3} = 343

w = 7, w = - \frac{7}{2} + \frac{7 3}{2} i, w = - \frac{7}{2} - \frac{7 3}{2} i

Schritte zur Lösung

w^{3} = 343

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}

w = 3343, w = 3343 \frac{- 1 + 3 i}{2}, w = 3343 \frac{- 1 - 3 i}{2}

3343 = 7

Vereinfache

3343 \frac{- 1 + 3 i}{2} : - \frac{7}{2} + \frac{7 3}{2} i

Vereinfache

3343 \frac{- 1 - 3 i}{2} : - \frac{7}{2} - \frac{7 3}{2} i

w = 7, w = - \frac{7}{2} + \frac{7 3}{2} i, w = - \frac{7}{2} - \frac{7 3}{2} i

2 x^{8} - 3 + 5 = 15

x^{3} x + 8 = - 4

x^{3} + 9 x^{2} + 17 x + 6 = 0

x^{6} + 16 = 0

b^{3} = 44