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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 0, x = 0.5, x = - 2

Schritte zur Lösung

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

Faktorisiere

2 x^{4} + 3 x^{3} - 2 x^{2} : x^{2} (2 x - 1) (x + 2)

x^{2} (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

36 y^{3} - 49 y = 0

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x^3+7nx^2-x-7n=0

x^{3} + 7 n x^{2} - x - 7 n = 0

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

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

x^3-3x^2-16x+48=0

x^{3} - 3 x^{2} - 16 x + 48 = 0