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Beliebt Algebra >

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

Lösung

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

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

Faktorisiere

12 x^{3} + 21 x^{2} + 6 x : 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

Beliebte Beispiele

x^3-7x^2+17x-15=0

x^{3} - 7 x^{2} + 17 x - 15 = 0

x^{4} + x^{2} = 2

x^{8} = 3^{16}

-x^3-x^2+4x+4=0

- x^{3} - x^{2} + 4 x + 4 = 0

2h^4+17h^3+21h^2=h+7

2 h^{4} + 17 h^{3} + 21 h^{2} = h + 7