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Beliebt Algebra >

2x^3-6x^2+2x=0

Lösung

2 x^{3} - 6 x^{2} + 2 x = 0

Lösung

x = 0, x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

+1

Dezimale

x = 0, x = 2.61803 \dots, x = 0.38196 \dots

Schritte zur Lösung

2 x^{3} - 6 x^{2} + 2 x = 0

Faktorisiere

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

2 x (x^{2} - 3 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} - 3 x + 1 = 0

Löse

x^{2} - 3 x + 1 = 0 : x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Die Lösungen sind

x = 0, x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Graph

Beliebte Beispiele

(x - 3)^{2} (x + 1) = 0

x^4-0x^3-2x^2-0x+1=0

x^{4} - 0 x^{3} - 2 x^{2} - 0 x + 1 = 0

x^4-4x^3-3x^2+10x+2=0

x^{4} - 4 x^{3} - 3 x^{2} + 10 x + 2 = 0

40000=17000(1+r)^{10}

40000 = 17000 (1 + r)^{10}

0=x^3+5x^2-3x-15

0 = x^{3} + 5 x^{2} - 3 x - 15