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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = - 0.5, x = - 1, x = 1

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Die Lösungen sind

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

Graph

Beliebte Beispiele

(x+6)(x+1)(x+3)(x-2)+56=0

(x + 6) (x + 1) (x + 3) (x - 2) + 56 = 0

x^{5} = - 4 x^{5}

x^{3} + x = 100

130r^3-a^2r^3+a^2=0

130 r^{3} - a^{2} r^{3} + a^{2} = 0

x^{5} = 212