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Beliebt Algebra >

-x^4-8x^3+7x^2+56x=0

Lösung

- x^{4} - 8 x^{3} + 7 x^{2} + 56 x = 0

Lösung

x = 0, x = - 8, x = - 7, x = 7

+1

Dezimale

x = 0, x = - 8, x = - 2.64575 \dots, x = 2.64575 \dots

Schritte zur Lösung

- x^{4} - 8 x^{3} + 7 x^{2} + 56 x = 0

Faktorisiere

- x^{4} - 8 x^{3} + 7 x^{2} + 56 x : - x (x + 8) (x + 7) (x - 7)

- x (x + 8) (x + 7) (x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x + 8 = 0 or x + 7 = 0 or x - 7 = 0

Löse

x + 8 = 0 : x = - 8

Löse

x + 7 = 0 : x = - 7

Löse

x - 7 = 0 : x = 7

Die Lösungen sind

x = 0, x = - 8, x = - 7, x = 7

Graph

Beliebte Beispiele

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