a^3=11

Lösung

a^{3} = 11

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

Schritte zur Lösung

a^{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}

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

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

x^{3} + 4 x + 1 = 0

x^{2} - 16 = (x^{4}) (x - 4)

3 x^{3} - 15 x^{2} + 9 x - 5 = 0

(x^{2} + 16 x)^{2} = 1 7^{2}

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