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Beliebt Algebra >

3(x^2-1)(x^2+100)=0

Lösung

3 (x^{2} - 1) (x^{2} + 100) = 0

Lösung

x = - 1, x = 1, x = 10 i, x = - 10 i

Schritte zur Lösung

3 (x^{2} - 1) (x^{2} + 100) = 0

Faktorisiere

3 (x^{2} - 1) (x^{2} + 100) : 3 (x + 1) (x - 1) (x^{2} + 100)

3 (x + 1) (x - 1) (x^{2} + 100) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x - 1 = 0 or x^{2} + 100 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Löse

x^{2} + 100 = 0 : x = 10 i, x = - 10 i

Die Lösungen sind

x = - 1, x = 1, x = 10 i, x = - 10 i

Graph

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