b^3=343

Lösung

b^{3} = 343

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

Schritte zur Lösung

b^{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}

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

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

s^{3} + 6 s^{2} + 12 s + 8 = 0

0 = m^{3} + 6 m^{2} + 9 m

27 y^{3} - 27 y^{2} + 9 y - 1 = 0

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

x^{6} - 25 x^{4} - 16 x^{2} + 400 = 0