v^3=343

Lösung

v^{3} = 343

v = 7, v = - \frac{7}{2} + \frac{7 3}{2} i, v = - \frac{7}{2} - \frac{7 3}{2} i

Schritte zur Lösung

v^{3} = 343

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}

v = 3343, v = 3343 \frac{- 1 + 3 i}{2}, v = 3343 \frac{- 1 - 3 i}{2}

3343 = 7

Vereinfache

3343 \frac{- 1 + 3 i}{2} : - \frac{7}{2} + \frac{7 3}{2} i

Vereinfache

3343 \frac{- 1 - 3 i}{2} : - \frac{7}{2} - \frac{7 3}{2} i

v = 7, v = - \frac{7}{2} + \frac{7 3}{2} i, v = - \frac{7}{2} - \frac{7 3}{2} i

so l v e f or x, 6 y - 12 x^{3} = 0

x^{3} + x^{2} + x + 1 = 4

905 = 5 x^{3}

x^{3} - 6 x^{2} + 15 = 0

x^{2} = - x^{4} + 2