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Beliebt Algebra >

x^3-8x-3=0

Lösung

x^{3} - 8 x - 3 = 0

Lösung

x = 3, x = \frac{- 3 + 5}{2}, x = \frac{- 3 - 5}{2}

+1

Dezimale

x = 3, x = - 0.38196 \dots, x = - 2.61803 \dots

Schritte zur Lösung

x^{3} - 8 x - 3 = 0

Faktorisiere

x^{3} - 8 x - 3 : (x - 3) (x^{2} + 3 x + 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

x^{2} + 3 x + 1 = 0 : x = \frac{- 3 + 5}{2}, x = \frac{- 3 - 5}{2}

Die Lösungen sind

x = 3, x = \frac{- 3 + 5}{2}, x = \frac{- 3 - 5}{2}

Graph

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