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Beliebt Algebra >

(x^2-4)*(x^2-3x+1)=0

Lösung

(x^{2} - 4) \cdot (x^{2} - 3 x + 1) = 0

Lösung

x = - 2, x = 2, x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

+1

Dezimale

x = - 2, x = 2, x = 2.61803 \dots, x = 0.38196 \dots

Schritte zur Lösung

(x^{2} - 4) (x^{2} - 3 x + 1) = 0

Faktorisiere

(x^{2} - 4) (x^{2} - 3 x + 1) : (x + 2) (x - 2) (x^{2} - 3 x + 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or x - 2 = 0 or x^{2} - 3 x + 1 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Löse

x^{2} - 3 x + 1 = 0 : x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Die Lösungen sind

x = - 2, x = 2, x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Graph

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