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Beliebt Algebra >

2x^3-x^2-22x-24=0

Lösung

2 x^{3} - x^{2} - 22 x - 24 = 0

Lösung

x = - 2, x = - \frac{3}{2}, x = 4

+1

Dezimale

x = - 2, x = - 1.5, x = 4

Schritte zur Lösung

2 x^{3} - x^{2} - 22 x - 24 = 0

Faktorisiere

2 x^{3} - x^{2} - 22 x - 24 : (x + 2) (2 x + 3) (x - 4)

(x + 2) (2 x + 3) (x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or 2 x + 3 = 0 or x - 4 = 0

Löse

x + 2 = 0 : x = - 2

Löse

2 x + 3 = 0 : x = - \frac{3}{2}

Löse

x - 4 = 0 : x = 4

Die Lösungen sind

x = - 2, x = - \frac{3}{2}, x = 4

Graph

Beliebte Beispiele

2x^3+6x^2+5x+2=0

2 x^{3} + 6 x^{2} + 5 x + 2 = 0

4x^4+12x^3+5x^2=0

4 x^{4} + 12 x^{3} + 5 x^{2} = 0

x^{4} - 6 x^{2} + 10 = 0

wurzeln von-6x^3-48x^2-66x+120

roo t s - 6 x^{3} - 48 x^{2} - 66 x + 120

x^3+3x^2-7x-21=0

x^{3} + 3 x^{2} - 7 x - 21 = 0