((x*4-7)/3)^3=27

Lösung

(\frac{x \cdot 4 - 7}{3})^{3} = 27

x = 4, x = \frac{5}{8} + i \frac{9 3}{8}, x = \frac{5}{8} - i \frac{9 3}{8}

Schritte zur Lösung

(\frac{x \cdot 4 - 7}{3})^{3} = 27

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 \cdot 4 - 7}{3} = 327 : x = 4

Löse

\frac{x \cdot 4 - 7}{3} = 327 \frac{- 1 + 3 i}{2} : x = \frac{5}{8} + i \frac{9 3}{8}

Löse

\frac{x \cdot 4 - 7}{3} = 327 \frac{- 1 - 3 i}{2} : x = \frac{5}{8} - i \frac{9 3}{8}

Die Lösungen sind

x = 4, x = \frac{5}{8} + i \frac{9 3}{8}, x = \frac{5}{8} - i \frac{9 3}{8}

52 x^{6} = x - 23 x

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

x^{4} - 4 x^{3} + 7 x^{2} - 6 x - 18 = 0

x^{3} - 5 x^{2} = - 4 x

3 x^{6} - 14 x^{3} = 80