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Beliebt Algebra >

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

Lösung

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

Faktorisiere

2 x^{3} - 5 x^{2} - 4 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

(x - 5)^{4} - 80 = 0

18 x - 9 = 2 x^{3} - x^{2}

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

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

g(n)=n^3-5n^2,g(-4n)

g (n) = n^{3} - 5 n^{2}, g (- 4 n)