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Beliebt Algebra >

5(x^2+x-12)(x-8)=0

Lösung

5 (x^{2} + x - 12) (x - 8) = 0

Lösung

x = 3, x = - 4, x = 8

Schritte zur Lösung

5 (x^{2} + x - 12) (x - 8) = 0

Faktorisiere

5 (x^{2} + x - 12) (x - 8) : 5 (x - 3) (x + 4) (x - 8)

5 (x - 3) (x + 4) (x - 8) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or x + 4 = 0 or x - 8 = 0

Löse

x - 3 = 0 : x = 3

Löse

x + 4 = 0 : x = - 4

Löse

x - 8 = 0 : x = 8

Die Lösungen sind

x = 3, x = - 4, x = 8

Graph

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