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Beliebt Algebra >

3x^3-20x^2+12x=0

Lösung

3 x^{3} - 20 x^{2} + 12 x = 0

Lösung

x = 0, x = \frac{2}{3}, x = 6

+1

Dezimale

x = 0, x = 0.66666 \dots, x = 6

Schritte zur Lösung

3 x^{3} - 20 x^{2} + 12 x = 0

Faktorisiere

3 x^{3} - 20 x^{2} + 12 x : x (3 x - 2) (x - 6)

x (3 x - 2) (x - 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 3 x - 2 = 0 or x - 6 = 0

Löse

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

Löse

x - 6 = 0 : x = 6

Die Lösungen sind

x = 0, x = \frac{2}{3}, x = 6

Graph

Beliebte Beispiele

x^3-5x^2+7x-9=100

x^{3} - 5 x^{2} + 7 x - 9 = 100

x^4-7x^3+18x^2-20x+8=0

x^{4} - 7 x^{3} + 18 x^{2} - 20 x + 8 = 0

12x^3-24x^2-36x=0

12 x^{3} - 24 x^{2} - 36 x = 0

4 x^{3} - 12 x + 1 = 0

x^{4} + 7 x^{2} + 12 = 0