81^2=b^3

Lösung

8 1^{2} = b^{3}

b = 939, b = \frac{9 3 9 ( - 1 + 3 i )}{2}, b = \frac{9 3 9 ( - 1 - 3 i )}{2}

Schritte zur Lösung

8 1^{2} = b^{3}

Tausche die Seiten

b^{3} = 8 1^{2}

8 1^{2} = 6561

b^{3} = 6561

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}

b = 36561, b = 36561 \frac{- 1 + 3 i}{2}, b = 36561 \frac{- 1 - 3 i}{2}

36561 = 939

Vereinfache

36561 \frac{- 1 + 3 i}{2} : \frac{9 3 9 ( - 1 + 3 i )}{2}

Vereinfache

36561 \frac{- 1 - 3 i}{2} : \frac{9 3 9 ( - 1 - 3 i )}{2}

b = 939, b = \frac{9 3 9 ( - 1 + 3 i )}{2}, b = \frac{9 3 9 ( - 1 - 3 i )}{2}

- x^{3} + 30 x^{2} - 279 x + 810 = 0

x^{4} - 4 x^{3} + 14 x^{2} - 4 x + 13 = 0

x^{4} - 2 x^{3} - 1 = 0

x^{4} + 7 x^{3} = 0

2 x^{5} - x^{4} - 2 x + 1 = 0