s^3=-343

Lösung

s^{3} = - 343

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

Schritte zur Lösung

s^{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}

s = 3 - 343, s = 3 - 343 \frac{- 1 + 3 i}{2}, s = 3 - 343 \frac{- 1 - 3 i}{2}

3 - 343 = - 7

Vereinfache

3 - 343 \frac{- 1 + 3 i}{2} : \frac{7}{2} - \frac{7 3}{2} i

Vereinfache

3 - 343 \frac{- 1 - 3 i}{2} : \frac{7}{2} + \frac{7 3}{2} i

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

x (x^{2} - 3) = 0

s^{4} + 8 s^{2} + 11 = 0

(x^{3} - 6)^{2} + 3 (x^{3} - 6) - 10 = 0

3 c^{3} + 9 = - 72

y^{3} - 5 y^{2} = 0