x^3=-343

Lösung

x^{3} = - 343

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

Schritte zur Lösung

x^{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}

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

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

2 x^{3} + 6 x^{2} + 1 = 0

6 x^{3} - 47 x^{2} + 36 x - 7 = 0

x^{3} - 5 x^{2} + 4 x + 6 = 0

3 b = 9 (b^{3} + 3)

so l v e f or x, x^{4} + 4 y^{2} = z^{2}