x^3=54

Lösung

x^{3} = 54

x = 332, x = \frac{3 ( - 1 + 3 i )}{3 2 ^{2}}, x = \frac{3 ( - 1 - 3 i )}{3 2 ^{2}}

Schritte zur Lösung

x^{3} = 54

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 = 354, x = 354 \frac{- 1 + 3 i}{2}, x = 354 \frac{- 1 - 3 i}{2}

354 = 332

Vereinfache

354 \frac{- 1 + 3 i}{2} : \frac{3 ( - 1 + 3 i )}{3 2 ^{2}}

Vereinfache

354 \frac{- 1 - 3 i}{2} : \frac{3 ( - 1 - 3 i )}{3 2 ^{2}}

x = 332, x = \frac{3 ( - 1 + 3 i )}{3 2 ^{2}}, x = \frac{3 ( - 1 - 3 i )}{3 2 ^{2}}

(x - 7) (x + 1) (x - 9) = 0

x^{5} - 13 x^{3} + 36 x = 0

x^{6} + 36 = 100

(2 x - 1) (x^{2} - 14) = 0

x^{3} + 3 = 57