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Beliebt Algebra >

6x^3+27x^2-54x=0

Lösung

6 x^{3} + 27 x^{2} - 54 x = 0

Lösung

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

+1

Dezimale

x = 0, x = 1.5, x = - 6

Schritte zur Lösung

6 x^{3} + 27 x^{2} - 54 x = 0

Faktorisiere

6 x^{3} + 27 x^{2} - 54 x : 3 x (2 x - 3) (x + 6)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 6 = 0 : x = - 6

Die Lösungen sind

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

Graph

Beliebte Beispiele

4y^3-7y^2+28=16y

4 y^{3} - 7 y^{2} + 28 = 16 y

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x^{4} + 2 x^{3} + 6 x^{2} + 8 x + 8 = 0

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2 x^{5} - 5 x^{2} + 1 = 0

0=-x^3+15x^2-63x+49

0 = - x^{3} + 15 x^{2} - 63 x + 49