n^3=0.008

Lösung

n^{3} = 0.008

n = \frac{1}{5}, n = - \frac{1}{10} + \frac{3}{10} i, n = - \frac{1}{10} - \frac{3}{10} i

Schritte zur Lösung

n^{3} = 0.008

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}

n = 3 0.008, n = 3 0.008 \frac{- 1 + 3 i}{2}, n = 3 0.008 \frac{- 1 - 3 i}{2}

3 0.008 = \frac{1}{5}

Vereinfache

3 0.008 \frac{- 1 + 3 i}{2} : - \frac{1}{10} + \frac{3}{10} i

Vereinfache

3 0.008 \frac{- 1 - 3 i}{2} : - \frac{1}{10} - \frac{3}{10} i

n = \frac{1}{5}, n = - \frac{1}{10} + \frac{3}{10} i, n = - \frac{1}{10} - \frac{3}{10} i

- 15 x^{1} + 6 x^{2} - 10 x^{3} = - 12

so l v e f or x, 4 y^{2} - x^{3} = 0

x^{4} - x^{2} + x (x^{2} - 1) = 0

16 x^{3} + 80 x^{2} - x - 5 = 0

75 = - 5 + 10 b^{3}