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Beliebt Algebra >

x^3-5x+4=0

Lösung

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

Lösung

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

+1

Dezimale

x = 1, x = 1.56155 \dots, x = - 2.56155 \dots

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^3-4x^2-11x+30=0

x^{3} - 4 x^{2} - 11 x + 30 = 0

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

3 x^{4} + 2 = 5 x^{2}

x + 6 = x^{3}

27 x^{4} + 60 x^{2} = 32