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Beliebt Algebra >

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

Lösung

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

Lösung

x = 1, x = 3 i, x = - 3 i

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

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

Die Lösungen sind

x = 1, x = 3 i, x = - 3 i

Graph

Beliebte Beispiele

solvefor x,x^3+4x^2-10=0

so l v e f or x, x^{3} + 4 x^{2} - 10 = 0

x^3-2.9x^2+4.41=0

x^{3} - 2.9 x^{2} + 4.41 = 0

solvefor x,f(2+h)=x^3

so l v e f or x, f (2 + h) = x^{3}

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

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

solvefor a,a^3+b^3+c^3=0

so l v e f or a, a^{3} + b^{3} + c^{3} = 0