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Beliebt Algebra >

3x^3+x^2-38x+24=0

Lösung

3 x^{3} + x^{2} - 38 x + 24 = 0

Lösung

x = 3, x = \frac{2}{3}, x = - 4

+1

Dezimale

x = 3, x = 0.66666 \dots, x = - 4

Schritte zur Lösung

3 x^{3} + x^{2} - 38 x + 24 = 0

Faktorisiere

3 x^{3} + x^{2} - 38 x + 24 : (x - 3) (3 x - 2) (x + 4)

(x - 3) (3 x - 2) (x + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or 3 x - 2 = 0 or x + 4 = 0

Löse

x - 3 = 0 : x = 3

Löse

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

Löse

x + 4 = 0 : x = - 4

Die Lösungen sind

x = 3, x = \frac{2}{3}, x = - 4

Graph

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12x^3-24x^2+12x=0

12 x^{3} - 24 x^{2} + 12 x = 0