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Beliebt Algebra >

x^3+x^2-3x+1=0

Lösung

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

Lösung

x = 1, x = - 1 + 2, x = - 1 - 2

+1

Dezimale

x = 1, x = 0.41421 \dots, x = - 2.41421 \dots

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

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

Die Lösungen sind

x = 1, x = - 1 + 2, x = - 1 - 2

Graph

Beliebte Beispiele

2x^5-7x^4+12x^3+8x^2=0

2 x^{5} - 7 x^{4} + 12 x^{3} + 8 x^{2} = 0

x^{3} - 3 = 0

x^{4} - 2 x = 0

solvefor m,n=m^4

so l v e f or m, n = m^{4}

x^{3} + i = 0