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Beliebt Algebra >

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

Lösung

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

Lösung

x = 1, x = - \frac{1}{2}, x = 3

+1

Dezimale

x = 1, x = - 0.5, x = 3

Schritte zur Lösung

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

Faktorisiere

2 x^{3} - 7 x^{2} + 2 x + 3 : (x - 1) (2 x + 1) (x - 3)

(x - 1) (2 x + 1) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or 2 x + 1 = 0 or x - 3 = 0

Löse

x - 1 = 0 : x = 1

Löse

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

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 1, x = - \frac{1}{2}, x = 3

Graph

Beliebte Beispiele

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