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Beliebt Algebra >

x^4(x-1)+x^3(x-1)=0

Lösung

x^{4} (x - 1) + x^{3} (x - 1) = 0

Lösung

x = 0, x = 1, x = - 1

Schritte zur Lösung

x^{4} (x - 1) + x^{3} (x - 1) = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x - 1 = 0 or x + 1 = 0

Löse

x - 1 = 0 : x = 1

Löse

x + 1 = 0 : x = - 1

Die Lösungen sind

x = 0, x = 1, x = - 1

Graph

Beliebte Beispiele

x^3-4x^2+5x-2=0

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

x^{33} x^{2} x^{3} = 0

(25)^{150}=25x^{50}

(25)^{150} = 25 x^{50}

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

x^{20} = 8 3^{10}