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Beliebt Algebra >

x^4-6x^3+9x^2-2x=0

Lösung

x^{4} - 6 x^{3} + 9 x^{2} - 2 x = 0

Lösung

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

+1

Dezimale

x = 0, x = 2, x = 3.73205 \dots, x = 0.26794 \dots

Schritte zur Lösung

x^{4} - 6 x^{3} + 9 x^{2} - 2 x = 0

Faktorisiere

x^{4} - 6 x^{3} + 9 x^{2} - 2 x : x (x - 2) (x^{2} - 4 x + 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 2 = 0 : x = 2

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{2} x - 1 = 2

d^{4} - 1 = 2

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

x^3-6x^2+8x+2=0

x^{3} - 6 x^{2} + 8 x + 2 = 0

16y^4+15y^2-1=0

16 y^{4} + 15 y^{2} - 1 = 0