v^3=-15

Lösung

v^{3} = - 15

v = - 315, v = - \frac{3 15 ( - 1 + 3 i )}{2}, v = - \frac{3 15 ( - 1 - 3 i )}{2}

Schritte zur Lösung

v^{3} = - 15

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}

v = 3 - 15, v = 3 - 15 \frac{- 1 + 3 i}{2}, v = 3 - 15 \frac{- 1 - 3 i}{2}

3 - 15 = - 315

Vereinfache

3 - 15 \frac{- 1 + 3 i}{2} : - \frac{3 15 ( - 1 + 3 i )}{2}

Vereinfache

3 - 15 \frac{- 1 - 3 i}{2} : - \frac{3 15 ( - 1 - 3 i )}{2}

v = - 315, v = - \frac{3 15 ( - 1 + 3 i )}{2}, v = - \frac{3 15 ( - 1 - 3 i )}{2}

237537 = 200000 (1 + x)^{5}

x^{5} + 10 x^{3} + 20 x - 4 = 0

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

x^{4} - 4 x^{3} + 2 x^{2} - 5 x + 7 = 0

4 x^{4} - 4 x^{2} - 1 = 0