6*x^3=180

Lösung

6 \cdot x^{3} = 180

x = 330, x = - 330 \frac{1}{2} + 330 \frac{3}{2} i, x = - 330 \frac{1}{2} - 330 \frac{3}{2} i

Schritte zur Lösung

6 x^{3} = 180

Teile beide Seiten durch

6

x^{3} = 30

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 = 330, x = 330 \frac{- 1 + 3 i}{2}, x = 330 \frac{- 1 - 3 i}{2}

Vereinfache

330 \frac{- 1 + 3 i}{2} : - 330 \frac{1}{2} + 330 \frac{3}{2} i

Vereinfache

330 \frac{- 1 - 3 i}{2} : - 330 \frac{1}{2} - 330 \frac{3}{2} i

x = 330, x = - 330 \frac{1}{2} + 330 \frac{3}{2} i, x = - 330 \frac{1}{2} - 330 \frac{3}{2} i

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

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

20 x^{3} - 12 x^{2} - 20 x = 0

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

2 x^{4} + 17 x^{3} + 43 x^{2} + 37 x + 6 = 0