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Beliebt Algebra >

x^3-2x-1=0

Lösung

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

Lösung

x = - 1, x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

+1

Dezimale

x = - 1, x = 1.61803 \dots, x = - 0.61803 \dots

Schritte zur Lösung

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

Faktorisiere

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

(x + 1) (x^{2} - x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

x^{2} - x - 1 = 0 : x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

Die Lösungen sind

x = - 1, x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

Graph

Beliebte Beispiele

2x^3-7x^2+8x-3=0

2 x^{3} - 7 x^{2} + 8 x - 3 = 0

7 x^{3} = - 28 x

x^{4} + 8 x = 0

x^{4} + 6 x^{2} + 9 = 0

x^6-3x^4+4x^2-12=0

x^{6} - 3 x^{4} + 4 x^{2} - 12 = 0