n^3=343

Lösung

n^{3} = 343

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

Schritte zur Lösung

n^{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}

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

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

4 X^{3} = 2 X^{2}

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

3 w - w^{3} = 2

x^{5} = 1 0^{35}

y^{3} y - 5 = 19