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Beliebt Algebra >

4x^3-6x^2-36x+54=0

Lösung

4 x^{3} - 6 x^{2} - 36 x + 54 = 0

Lösung

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

+1

Dezimale

x = 1.5, x = - 3, x = 3

Schritte zur Lösung

4 x^{3} - 6 x^{2} - 36 x + 54 = 0

Faktorisiere

4 x^{3} - 6 x^{2} - 36 x + 54 : 2 (2 x - 3) (x + 3) (x - 3)

2 (2 x - 3) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x - 3 = 0 or x + 3 = 0 or x - 3 = 0

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

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