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Beliebt Algebra >

4x^3-5x-2=0

Lösung

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

Lösung

x = - \frac{1}{2}, x = \frac{1 + 17}{4}, x = \frac{1 - 17}{4}

+1

Dezimale

x = - 0.5, x = 1.28077 \dots, x = - 0.78077 \dots

Schritte zur Lösung

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

Faktorisiere

4 x^{3} - 5 x - 2 : (2 x + 1) (2 x^{2} - x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

2 x^{2} - x - 2 = 0 : x = \frac{1 + 17}{4}, x = \frac{1 - 17}{4}

Die Lösungen sind

x = - \frac{1}{2}, x = \frac{1 + 17}{4}, x = \frac{1 - 17}{4}

Graph

Beliebte Beispiele

(x-1)^4+(x-7)^4=272

(x - 1)^{4} + (x - 7)^{4} = 272

x^{4} + x^{2} - 1 = 0

x^{4} = - 1

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

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

z^{4} + 13 z^{2} + 36 = 0