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Beliebt Algebra >

6x^3-5x^2-2x+1=0

Lösung

6 x^{3} - 5 x^{2} - 2 x + 1 = 0

Lösung

x = 1, x = \frac{1}{3}, x = - \frac{1}{2}

+1

Dezimale

x = 1, x = 0.33333 \dots, x = - 0.5

Schritte zur Lösung

6 x^{3} - 5 x^{2} - 2 x + 1 = 0

Faktorisiere

6 x^{3} - 5 x^{2} - 2 x + 1 : (x - 1) (3 x - 1) (2 x + 1)

(x - 1) (3 x - 1) (2 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or 3 x - 1 = 0 or 2 x + 1 = 0

Löse

x - 1 = 0 : x = 1

Löse

3 x - 1 = 0 : x = \frac{1}{3}

Löse

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

Die Lösungen sind

x = 1, x = \frac{1}{3}, x = - \frac{1}{2}

Graph

Beliebte Beispiele

4 x^{3} = 36 - x

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x^{8} + 2 x^{6} - x^{4} - 2 x^{2} + 1 = 0

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(x-1)^3+(x-1)^2=0

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