y^3= 27/1000

Lösung

y^{3} = \frac{27}{1000}

y = \frac{3}{10}, y = - \frac{3}{20} + \frac{3 3}{20} i, y = - \frac{3}{20} - \frac{3 3}{20} i

Schritte zur Lösung

y^{3} = \frac{27}{1000}

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}

y = 3 \frac{27}{1000}, y = 3 \frac{27}{1000} \frac{- 1 + 3 i}{2}, y = 3 \frac{27}{1000} \frac{- 1 - 3 i}{2}

3 \frac{27}{1000} = \frac{3}{10}

Vereinfache

3 \frac{27}{1000} \frac{- 1 + 3 i}{2} : - \frac{3}{20} + \frac{3 3}{20} i

Vereinfache

3 \frac{27}{1000} \frac{- 1 - 3 i}{2} : - \frac{3}{20} - \frac{3 3}{20} i

y = \frac{3}{10}, y = - \frac{3}{20} + \frac{3 3}{20} i, y = - \frac{3}{20} - \frac{3 3}{20} i

x^{3} + x = 9

z^{4} = (1 + 2 i)^{8}

so l v e f or x, z = (2 x + 3 y)^{10}

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

x^{5} = 2