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Beliebt Algebra >

4x^3+8x^2-x-2=0

Lösung

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

Lösung

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

+1

Dezimale

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

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 2 = 0 : x = - 2

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^4-3x^3+5x^2-x-10=0

x^{4} - 3 x^{3} + 5 x^{2} - x - 10 = 0

25x+8x^2-4x^3=50

25 x + 8 x^{2} - 4 x^{3} = 50

x^{3} = \frac{64}{343}

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

(x^2-4)^2+(x^2-4)-6=0

(x^{2} - 4)^{2} + (x^{2} - 4) - 6 = 0