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Beliebt Algebra >

x^6+x^5-2x^4=0

Lösung

x^{6} + x^{5} - 2 x^{4} = 0

Lösung

x = 0, x = 1, x = - 2

Schritte zur Lösung

x^{6} + x^{5} - 2 x^{4} = 0

Faktorisiere

x^{6} + x^{5} - 2 x^{4} : x^{4} (x - 1) (x + 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x - 1 = 0 or x + 2 = 0

Löse

x - 1 = 0 : x = 1

Löse

x + 2 = 0 : x = - 2

Die Lösungen sind

x = 0, x = 1, x = - 2

Graph

Beliebte Beispiele

(x^4)^2=16-15(x^2)^2

(x^{4})^{2} = 16 - 15 (x^{2})^{2}

x^4-x^3-x^2-1=0

x^{4} - x^{3} - x^{2} - 1 = 0

-x^4+x^3+2x^2-1=0

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

2x^3+0x^2+7x-8=0

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

a^{4} - 10 a^{2} = - 21