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Beliebt Algebra >

(5x-2)^3-(5x-2)=0

Lösung

(5 x - 2)^{3} - (5 x - 2) = 0

Lösung

x = \frac{2}{5}, x = \frac{1}{5}, x = \frac{3}{5}

+1

Dezimale

x = 0.4, x = 0.2, x = 0.6

Schritte zur Lösung

(5 x - 2)^{3} - (5 x - 2) = 0

Faktorisiere

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

(5 x - 2) (5 x - 1) (5 x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

5 x - 2 = 0 or 5 x - 1 = 0 or 5 x - 3 = 0

Löse

5 x - 2 = 0 : x = \frac{2}{5}

Löse

5 x - 1 = 0 : x = \frac{1}{5}

Löse

5 x - 3 = 0 : x = \frac{3}{5}

Die Lösungen sind

x = \frac{2}{5}, x = \frac{1}{5}, x = \frac{3}{5}

Graph

Beliebte Beispiele

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

x^3+25.3x^2+219.5x+660.1=0

x^{3} + 25.3 x^{2} + 219.5 x + 660.1 = 0

x^{5} - 50 = 0

10750=5000*(1+x)^6

10750 = 5000 \cdot (1 + x)^{6}

x^{10} = x