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Beliebt Algebra >

(x^2-6)(x^2-1)=0

Lösung

(x^{2} - 6) (x^{2} - 1) = 0

Lösung

x = - 1, x = 1, x = - 6, x = 6

+1

Dezimale

x = - 1, x = 1, x = - 2.44948 \dots, x = 2.44948 \dots

Schritte zur Lösung

(x^{2} - 6) (x^{2} - 1) = 0

Faktorisiere

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

(x + 1) (x - 1) (x + 6) (x - 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x - 1 = 0 or x + 6 = 0 or x - 6 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Löse

x + 6 = 0 : x = - 6

Löse

x - 6 = 0 : x = 6

Die Lösungen sind

x = - 1, x = 1, x = - 6, x = 6

Graph

Beliebte Beispiele

2 x^{4} - 81 = 0

(x^2-2)^2-10(x^2-2)+21=0

(x^{2} - 2)^{2} - 10 (x^{2} - 2) + 21 = 0

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9 x^{2} - 24 x^{16} = 0

x^{3} - 5 x^{2} = 0

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