m^3=343

Lösung

m^{3} = 343

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

Schritte zur Lösung

m^{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}

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

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

0 = 2 x^{7} + 3 x^{5} - 9 x^{2} + 6

3 x^{3} + 15 x^{2} - 2 x - 10 = 0

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

36 y^{3} - 49 y = 0

x^{3} - 5 x = 0