5x^3= 1/25

Lösung

5 x^{3} = \frac{1}{25}

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

Schritte zur Lösung

5 x^{3} = \frac{1}{25}

Teile beide Seiten durch

5

x^{3} = \frac{1}{125}

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}

x = 3 \frac{1}{125}, x = 3 \frac{1}{125} \frac{- 1 + 3 i}{2}, x = 3 \frac{1}{125} \frac{- 1 - 3 i}{2}

3 \frac{1}{125} = \frac{1}{5}

Vereinfache

3 \frac{1}{125} \frac{- 1 + 3 i}{2} : - \frac{1}{10} + \frac{3}{10} i

Vereinfache

3 \frac{1}{125} \frac{- 1 - 3 i}{2} : - \frac{1}{10} - \frac{3}{10} i

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

12 y^{3} - 28 y^{2} - 9 y + 10 = 0

2 x^{3} - 2 x^{2} + 5 x = 8

x^{3} = 35

\frac{6 x ^{4}}{3} = 32

x^{3} = 7 x