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Beliebt Algebra >

x^3+3x=0

Lösung

x^{3} + 3 x = 0

Lösung

x = 0, x = 3 i, x = - 3 i

Schritte zur Lösung

x^{3} + 3 x = 0

Faktorisiere

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

x (x^{2} + 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Die Lösungen sind

x = 0, x = 3 i, x = - 3 i

Graph

Beliebte Beispiele

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

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

(a^2)^2=2,a^1=1

(a^{2})^{2} = 2, a^{1} = 1

x^3+4x^2-2x-8=0

x^{3} + 4 x^{2} - 2 x - 8 = 0

solvefor y,y^3=x^3+4x^4-x^5+2x^2-x+1

so l v e f or y, y^{3} = x^{3} + 4 x^{4} - x^{5} + 2 x^{2} - x + 1

(5 - 2 x)^{3} = - 27