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Beliebt Algebra >

x^2(x-9)+10x(x-9)+9(x-9)=0

Lösung

x^{2} (x - 9) + 10 x (x - 9) + 9 (x - 9) = 0

Lösung

x = 9, x = - 1, x = - 9

Schritte zur Lösung

x^{2} (x - 9) + 10 x (x - 9) + 9 (x - 9) = 0

Faktorisiere

x^{2} (x - 9) + 10 x (x - 9) + 9 (x - 9) : (x - 9) (x + 1) (x + 9)

(x - 9) (x + 1) (x + 9) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 9 = 0 or x + 1 = 0 or x + 9 = 0

Löse

x - 9 = 0 : x = 9

Löse

x + 1 = 0 : x = - 1

Löse

x + 9 = 0 : x = - 9

Die Lösungen sind

x = 9, x = - 1, x = - 9

Graph

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