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Beliebt Algebra >

12x^3-30x^2+12x=0

Lösung

12 x^{3} - 30 x^{2} + 12 x = 0

Lösung

x = 0, x = \frac{1}{2}, x = 2

+1

Dezimale

x = 0, x = 0.5, x = 2

Schritte zur Lösung

12 x^{3} - 30 x^{2} + 12 x = 0

Faktorisiere

12 x^{3} - 30 x^{2} + 12 x : 6 x (2 x - 1) (x - 2)

6 x (2 x - 1) (x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 2 x - 1 = 0 or x - 2 = 0

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = 0, x = \frac{1}{2}, x = 2

Graph

Beliebte Beispiele

10x+0.5x^2-0.001x^3-5000=0

10 x + 0.5 x^{2} - 0.001 x^{3} - 5000 = 0

24 x^{3} - 3 = 0

x^4+62x^2+128x+65=0

x^{4} + 62 x^{2} + 128 x + 65 = 0

x^3+4x^2-5x-20=0

x^{3} + 4 x^{2} - 5 x - 20 = 0

x = x^{3} - x^{2} - x