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Beliebt Algebra >

(2x-9)(x^2-4)=0

Lösung

(2 x - 9) (x^{2} - 4) = 0

Lösung

x = - 2, x = 2, x = \frac{9}{2}

+1

Dezimale

x = - 2, x = 2, x = 4.5

Schritte zur Lösung

(2 x - 9) (x^{2} - 4) = 0

Faktorisiere

(2 x - 9) (x^{2} - 4) : (x + 2) (x - 2) (2 x - 9)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or x - 2 = 0 or 2 x - 9 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Löse

2 x - 9 = 0 : x = \frac{9}{2}

Die Lösungen sind

x = - 2, x = 2, x = \frac{9}{2}

Graph

Beliebte Beispiele

x^{3} - 4 x^{2} - 5 x = 0

x - x^{3} = 1

x^{3} = - 0.49

x^{3} + x^{2} - 4 x = 4

x^3-3x^2-18x+54=0

x^{3} - 3 x^{2} - 18 x + 54 = 0