x^3=3937.5

Lösung

x^{3} = 3937.5

x = \frac{5 3 63}{3 2}, x = \frac{5 3 63 ( - \frac{1}{2} + \frac{3}{2} i )}{3 2}, x = \frac{5 3 63 ( - \frac{1}{2} - \frac{3}{2} i )}{3 2}

Schritte zur Lösung

x^{3} = 3937.5

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 3937.5, x = 3 3937.5 \frac{- 1 + 3 i}{2}, x = 3 3937.5 \frac{- 1 - 3 i}{2}

3 3937.5 = \frac{5 3 63}{3 2}

Vereinfache

3 3937.5 \frac{- 1 + 3 i}{2} : \frac{5 3 63 ( - \frac{1}{2} + \frac{3}{2} i )}{3 2}

Vereinfache

3 3937.5 \frac{- 1 - 3 i}{2} : \frac{5 3 63 ( - \frac{1}{2} - \frac{3}{2} i )}{3 2}

x = \frac{5 3 63}{3 2}, x = \frac{5 3 63 ( - \frac{1}{2} + \frac{3}{2} i )}{3 2}, x = \frac{5 3 63 ( - \frac{1}{2} - \frac{3}{2} i )}{3 2}

- 2 x^{3} - x = - 6

z^{6} - (3 - 2 i) z^{3} + 2 - 2 i = 0

4 (x^{2} - x)^{2} - 11 (x^{2} - x) + 6 = 0

5 y^{3} + 33 y^{2} = 14 y

20 x^{3} - 15 x = 3