((x-1)/3)^3=(1/5)^6

Lösung

(\frac{x - 1}{3})^{3} = (\frac{1}{5})^{6}

x = \frac{28}{25}, x = \frac{47}{50} + i \frac{3 3}{50}, x = \frac{47}{50} - i \frac{3 3}{50}

Schritte zur Lösung

(\frac{x - 1}{3})^{3} = (\frac{1}{5})^{6}

Vereinfache

(\frac{1}{5})^{6} : \frac{1}{15625}

Für

g^{3} (x) = f (a)

sind die Lösungen

g (x) = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

Löse

\frac{x - 1}{3} = 3 \frac{1}{15625} : x = \frac{28}{25}

Löse

\frac{x - 1}{3} = 3 \frac{1}{15625} \frac{- 1 + 3 i}{2} : x = \frac{47}{50} + i \frac{3 3}{50}

Löse

\frac{x - 1}{3} = 3 \frac{1}{15625} \frac{- 1 - 3 i}{2} : x = \frac{47}{50} - i \frac{3 3}{50}

Die Lösungen sind

x = \frac{28}{25}, x = \frac{47}{50} + i \frac{3 3}{50}, x = \frac{47}{50} - i \frac{3 3}{50}

(x + 1)^{3} + (x + 2)^{3} + (x + 3)^{3} + (x + 4)^{3} = (x + 5)^{3}

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

x^{3} - 2 x^{2} - 9 x + 18 = 0

2 x^{3} - 3 x^{2} = 9

2 y^{3} - 3 y^{2} + 2 y = 2