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Beliebt Algebra >

6x+21x^2+12x^3=0

Lösung

6 x + 21 x^{2} + 12 x^{3} = 0

Lösung

x = 0, x = \frac{- 7 + 17}{8}, x = \frac{- 7 - 17}{8}

+1

Dezimale

x = 0, x = - 0.35961 \dots, x = - 1.39038 \dots

Schritte zur Lösung

6 x + 21 x^{2} + 12 x^{3} = 0

Faktorisiere

6 x + 21 x^{2} + 12 x^{3} : 3 x (4 x^{2} + 7 x + 2)

3 x (4 x^{2} + 7 x + 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 4 x^{2} + 7 x + 2 = 0

Löse

4 x^{2} + 7 x + 2 = 0 : x = \frac{- 7 + 17}{8}, x = \frac{- 7 - 17}{8}

Die Lösungen sind

x = 0, x = \frac{- 7 + 17}{8}, x = \frac{- 7 - 17}{8}

Graph

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