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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 0, x = - 0.33333 \dots, x = 1

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x - 1 = 0 : x = 1

Die Lösungen sind

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

Graph

Beliebte Beispiele

(1+x^2)^2=4(1-x^2)

(1 + x^{2})^{2} = 4 (1 - x^{2})

x^{3} + 6 = 12

x^{4} + 5 x^{2} - 50 = 0

128 x^{3} - 16 x = 0

x^{4} + a^{2} = 0