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Beliebt Algebra >

12x^3+12x^2-12x=0

Lösung

12 x^{3} + 12 x^{2} - 12 x = 0

Lösung

x = 0, x = \frac{- 1 + 5}{2}, x = \frac{- 1 - 5}{2}

+1

Dezimale

x = 0, x = 0.61803 \dots, x = - 1.61803 \dots

Schritte zur Lösung

12 x^{3} + 12 x^{2} - 12 x = 0

Faktorisiere

12 x^{3} + 12 x^{2} - 12 x : 12 x (x^{2} + x - 1)

12 x (x^{2} + x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + x - 1 = 0

Löse

x^{2} + x - 1 = 0 : x = \frac{- 1 + 5}{2}, x = \frac{- 1 - 5}{2}

Die Lösungen sind

x = 0, x = \frac{- 1 + 5}{2}, x = \frac{- 1 - 5}{2}

Graph

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