6x^2x=2

Lösung

6 x^{2} x = 2

x = \frac{1}{3 3}, x = - \frac{1}{2 3 3} + \frac{6 3}{2} i, x = - \frac{1}{2 3 3} - \frac{6 3}{2} i

Schritte zur Lösung

6 x^{2} x = 2

Vereinfache

6 x^{3} = 2

Teile beide Seiten durch

6

\frac{6 x ^{3}}{6} = \frac{2}{6}

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

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

3 \frac{1}{3} = \frac{1}{3 3}

Vereinfache

3 \frac{1}{3} \frac{- 1 + 3 i}{2} : - \frac{1}{2 3 3} + \frac{6 3}{2} i

Vereinfache

3 \frac{1}{3} \frac{- 1 - 3 i}{2} : - \frac{1}{2 3 3} - \frac{6 3}{2} i

x = \frac{1}{3 3}, x = - \frac{1}{2 3 3} + \frac{6 3}{2} i, x = - \frac{1}{2 3 3} - \frac{6 3}{2} i

x^{8} = xx + 5

270 x - 3 x^{2} - 3 x^{3} = 0

x^{3} - 100 x^{2} + 3200 x - 120 = 0

2 a^{4} - 15 a^{2} + 28 = 0

4 x^{2} (x - 1) + 2 x (x - 1) = 0