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Beliebt Algebra >

4x^3-6x^2-18x+27=0

Lösung

4 x^{3} - 6 x^{2} - 18 x + 27 = 0

Lösung

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

+1

Dezimale

x = 1.5, x = - 2.12132 \dots, x = 2.12132 \dots

Schritte zur Lösung

4 x^{3} - 6 x^{2} - 18 x + 27 = 0

Faktorisiere

4 x^{3} - 6 x^{2} - 18 x + 27 : (2 x - 3) (2 x + 3) (2 x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

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