x^3=9000

Lösung

x^{3} = 9000

x = 1039, x = - 539 + 5393 i, x = - 539 - 5393 i

Schritte zur Lösung

x^{3} = 9000

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 = 39000, x = 39000 \frac{- 1 + 3 i}{2}, x = 39000 \frac{- 1 - 3 i}{2}

39000 = 1039

Vereinfache

39000 \frac{- 1 + 3 i}{2} : - 539 + 5393 i

Vereinfache

39000 \frac{- 1 - 3 i}{2} : - 539 - 5393 i

x = 1039, x = - 539 + 5393 i, x = - 539 - 5393 i

2 = y^{3}

y^{4} + 27 y^{2} - 324 = 0

x x^{2} - 2 x - 35 = 0

y^{4} - 6 y^{3} + 5 y^{2} = 0

(x^{2} - 5)^{2} + 2 (x^{2} - 5) - 24 = 0