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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

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

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Die Lösungen sind

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

Graph

Beliebte Beispiele

(x - 4)^{5} - 2 = 241

3 x^{4} = 1536

3 x^{5} + x - 7 = 0

(x+3)(x^2+2x+6)=-(x+3)(x-4)

(x + 3) (x^{2} + 2 x + 6) = - (x + 3) (x - 4)

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

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