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Beliebt Algebra >

2x^3-4x^2-38x+76=0

Lösung

2 x^{3} - 4 x^{2} - 38 x + 76 = 0

Lösung

x = 2, x = - 19, x = 19

+1

Dezimale

x = 2, x = - 4.35889 \dots, x = 4.35889 \dots

Schritte zur Lösung

2 x^{3} - 4 x^{2} - 38 x + 76 = 0

Faktorisiere

2 x^{3} - 4 x^{2} - 38 x + 76 : 2 (x - 2) (x + 19) (x - 19)

2 (x - 2) (x + 19) (x - 19) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or x + 19 = 0 or x - 19 = 0

Löse

x - 2 = 0 : x = 2

Löse

x + 19 = 0 : x = - 19

Löse

x - 19 = 0 : x = 19

Die Lösungen sind

x = 2, x = - 19, x = 19

Graph

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