x^3=11

Lösung

x^{3} = 11

x = 311, x = - 311 \frac{1}{2} + 311 \frac{3}{2} i, x = - 311 \frac{1}{2} - 311 \frac{3}{2} i

Schritte zur Lösung

x^{3} = 11

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 = 311, x = 311 \frac{- 1 + 3 i}{2}, x = 311 \frac{- 1 - 3 i}{2}

Vereinfache

311 \frac{- 1 + 3 i}{2} : - 311 \frac{1}{2} + 311 \frac{3}{2} i

Vereinfache

311 \frac{- 1 - 3 i}{2} : - 311 \frac{1}{2} - 311 \frac{3}{2} i

x = 311, x = - 311 \frac{1}{2} + 311 \frac{3}{2} i, x = - 311 \frac{1}{2} - 311 \frac{3}{2} i

(x^{2} - 4 x + 5)^{2} - (x - 1) (x - 3) = 4

2 x^{4} - 29 x^{2} - 48 = 0

so l v e f or x, y = 8 x^{3}

x^{3} - 3 x^{2} + 5 = 0

x^{3} + 3 x^{2} = 49 x + 147