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Beliebt Algebra >

2x^3-5x^2-14x+8=0

Lösung

2 x^{3} - 5 x^{2} - 14 x + 8 = 0

Lösung

x = - 2, x = \frac{1}{2}, x = 4

+1

Dezimale

x = - 2, x = 0.5, x = 4

Schritte zur Lösung

2 x^{3} - 5 x^{2} - 14 x + 8 = 0

Faktorisiere

2 x^{3} - 5 x^{2} - 14 x + 8 : (x + 2) (2 x - 1) (x - 4)

(x + 2) (2 x - 1) (x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or 2 x - 1 = 0 or x - 4 = 0

Löse

x + 2 = 0 : x = - 2

Löse

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

Löse

x - 4 = 0 : x = 4

Die Lösungen sind

x = - 2, x = \frac{1}{2}, x = 4

Graph

Beliebte Beispiele

5c^3+10c^2-75c=0

5 c^{3} + 10 c^{2} - 75 c = 0

(s-1)^2(s-3)^2=0

(s - 1)^{2} (s - 3)^{2} = 0

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

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

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

(1+x)^{12}=10968

(1 + x)^{12} = 10968