4x^3=16

Lösung

4 x^{3} = 16

x = 34, x = - 34 \frac{1}{2} + 34 \frac{3}{2} i, x = - 34 \frac{1}{2} - 34 \frac{3}{2} i

Schritte zur Lösung

4 x^{3} = 16

Teile beide Seiten durch

4

x^{3} = 4

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 = 34, x = 34 \frac{- 1 + 3 i}{2}, x = 34 \frac{- 1 - 3 i}{2}

Vereinfache

34 \frac{- 1 + 3 i}{2} : - 34 \frac{1}{2} + 34 \frac{3}{2} i

Vereinfache

34 \frac{- 1 - 3 i}{2} : - 34 \frac{1}{2} - 34 \frac{3}{2} i

x = 34, x = - 34 \frac{1}{2} + 34 \frac{3}{2} i, x = - 34 \frac{1}{2} - 34 \frac{3}{2} i

z^{6} + 2 = 0

3 x (x - 2) (5 x + 4) = 0

(25 - 5 x^{2}) (20 - 2 x^{2}) - 9 = 0

z^{6} + 1 = 0

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