f^3=343

Lösung

f^{3} = 343

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

Schritte zur Lösung

f^{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}

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

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

m^{3} - m^{2} + m - 1 = 0

(x - 1)^{5} = 32

x^{3} + 6 x + 1 = 0

z^{3} = \frac{- 3 + i}{2 + i}

so l v e f or z, A = \frac{p z ^{4}}{T}