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Beliebt Algebra >

x^4-6x^3+11x^2-6x=0

Lösung

x^{4} - 6 x^{3} + 11 x^{2} - 6 x = 0

Lösung

x = 0, x = 1, x = 2, x = 3

Schritte zur Lösung

x^{4} - 6 x^{3} + 11 x^{2} - 6 x = 0

Faktorisiere

x^{4} - 6 x^{3} + 11 x^{2} - 6 x : x (x - 1) (x - 2) (x - 3)

x (x - 1) (x - 2) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x - 1 = 0 or x - 2 = 0 or x - 3 = 0

Löse

x - 1 = 0 : x = 1

Löse

x - 2 = 0 : x = 2

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 0, x = 1, x = 2, x = 3

Graph

Beliebte Beispiele

x^{4} + x^{3} - 6 x^{2} = 0

- x^{4} + x^{2} + 12 = 0

x^{4} - 1 7^{2} + 16 = 0

0=x^6-7x^4-8x^2

0 = x^{6} - 7 x^{4} - 8 x^{2}

600 = 6 x^{10}