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Beliebt Algebra >

4x^3-5x+1=0

Lösung

4 x^{3} - 5 x + 1 = 0

Lösung

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

+1

Dezimale

x = 1, x = 0.20710 \dots, x = - 1.20710 \dots

Schritte zur Lösung

4 x^{3} - 5 x + 1 = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

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

Die Lösungen sind

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

Graph

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