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Beliebt Algebra >

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

Lösung

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

Lösung

x = 0, x = - 2 + 3, x = - 2 - 3

+1

Dezimale

x = 0, x = - 0.26794 \dots, x = - 3.73205 \dots

Schritte zur Lösung

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

Faktorisiere

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

x (x^{2} + 4 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 4 x + 1 = 0

Löse

x^{2} + 4 x + 1 = 0 : x = - 2 + 3, x = - 2 - 3

Die Lösungen sind

x = 0, x = - 2 + 3, x = - 2 - 3

Graph

Beliebte Beispiele

4 = x^{3} - 3 x

4 x^{3} + 12 x = 0

2x^3+9x^2+2x-30=0

2 x^{3} + 9 x^{2} + 2 x - 30 = 0

x^4-x^3-5x^2-12x+56=0

x^{4} - x^{3} - 5 x^{2} - 12 x + 56 = 0

(x-1)*x^2=2*3^2

(x - 1) \cdot x^{2} = 2 \cdot 3^{2}