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Beliebt Algebra >

4x^3-20x^2-9x+45=0

Lösung

4 x^{3} - 20 x^{2} - 9 x + 45 = 0

Lösung

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

+1

Dezimale

x = 5, x = - 1.5, x = 1.5

Schritte zur Lösung

4 x^{3} - 20 x^{2} - 9 x + 45 = 0

Faktorisiere

4 x^{3} - 20 x^{2} - 9 x + 45 : (x - 5) (2 x + 3) (2 x - 3)

(x - 5) (2 x + 3) (2 x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 5 = 0 or 2 x + 3 = 0 or 2 x - 3 = 0

Löse

x - 5 = 0 : x = 5

Löse

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

Löse

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

Die Lösungen sind

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

Graph

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