12x^3=4

Lösung

12 x^{3} = 4

x = \frac{1}{3 3}, x = - \frac{1}{2 3 3} + \frac{6 3}{2} i, x = - \frac{1}{2 3 3} - \frac{6 3}{2} i

Schritte zur Lösung

12 x^{3} = 4

Teile beide Seiten durch

12

x^{3} = \frac{1}{3}

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

3 \frac{1}{3} = \frac{1}{3 3}

Vereinfache

3 \frac{1}{3} \frac{- 1 + 3 i}{2} : - \frac{1}{2 3 3} + \frac{6 3}{2} i

Vereinfache

3 \frac{1}{3} \frac{- 1 - 3 i}{2} : - \frac{1}{2 3 3} - \frac{6 3}{2} i

x = \frac{1}{3 3}, x = - \frac{1}{2 3 3} + \frac{6 3}{2} i, x = - \frac{1}{2 3 3} - \frac{6 3}{2} i

so l v e f or x, 0.05 = (1 + x)^{11} - 1

- w^{4} + 60 w^{2} - 96 = 0

12900 = 8700 (1 + x)^{6}

so l v e f or r, 40 = x + r^{4}

755 = 5 x^{3}