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Beliebt Algebra >

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

Lösung

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

Lösung

x = 2, x = - 3, x = 3

+1

Dezimale

x = 2, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

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

Faktorisiere

x^{3} - 2 x^{2} - 3 x + 6 : (x - 2) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 2 = 0 : x = 2

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 2, x = - 3, x = 3

Graph

Beliebte Beispiele

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

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

x^{4} - 3 x^{2} - 8 = 0

2y^3+3y^2-11y+3=0

2 y^{3} + 3 y^{2} - 11 y + 3 = 0

x^{5} = 64 x^{3}

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