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Beliebt Algebra >

5x^3+4x^2-x=0

Lösung

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

Lösung

x = 0, x = \frac{1}{5}, x = - 1

+1

Dezimale

x = 0, x = 0.2, x = - 1

Schritte zur Lösung

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

Faktorisiere

5 x^{3} + 4 x^{2} - x : x (5 x - 1) (x + 1)

x (5 x - 1) (x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 5 x - 1 = 0 or x + 1 = 0

Löse

5 x - 1 = 0 : x = \frac{1}{5}

Löse

x + 1 = 0 : x = - 1

Die Lösungen sind

x = 0, x = \frac{1}{5}, x = - 1

Graph

Beliebte Beispiele

10 = 3 x^{3} - 2

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

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

(12x^5-12x^2)^3=0

(12 x^{5} - 12 x^{2})^{3} = 0

x^{6} - 9 x^{3} + 14 = 0

x^{4} + 8 x^{2} + 7 = 0