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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 2, x = 0.61803 \dots, x = - 1.61803 \dots

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 2 = 0 : x = 2

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

z^{3} - 3 z^{2} + z + 5 = 0

(x - 5)^{4} = 0

8 x^{4} - 343 x = 0

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

r^9g+9-12g=19g+9

r^{9} g + 9 - 12 g = 19 g + 9