y^3=27

Lösung

y^{3} = 27

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

Schritte zur Lösung

y^{3} = 27

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 = 327, y = 327 \frac{- 1 + 3 i}{2}, y = 327 \frac{- 1 - 3 i}{2}

327 = 3

Vereinfache

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

Vereinfache

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

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

36 x^{4} = 85 x^{2} - 49

x^{3} - 4 x^{2} - 9 x + 36 = 0

- 83 = b^{4}

x^{3} + 3 x - 1 = 0

x^{4} = 2 x^{2} - 1