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Beliebt Algebra >

5x^3-2x^2-35x+14=0

Lösung

5 x^{3} - 2 x^{2} - 35 x + 14 = 0

Lösung

x = \frac{2}{5}, x = - 7, x = 7

+1

Dezimale

x = 0.4, x = - 2.64575 \dots, x = 2.64575 \dots

Schritte zur Lösung

5 x^{3} - 2 x^{2} - 35 x + 14 = 0

Faktorisiere

5 x^{3} - 2 x^{2} - 35 x + 14 : (5 x - 2) (x + 7) (x - 7)

(5 x - 2) (x + 7) (x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

5 x - 2 = 0 or x + 7 = 0 or x - 7 = 0

Löse

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

Löse

x + 7 = 0 : x = - 7

Löse

x - 7 = 0 : x = 7

Die Lösungen sind

x = \frac{2}{5}, x = - 7, x = 7

Graph

Beliebte Beispiele

22 - 1 w^{3} = - 7

x^{3} + 11 x + 28 = 0

x^{3} - 8 x - 5 = 0

x^3+60=23x+2x^2

x^{3} + 60 = 23 x + 2 x^{2}

1 = m^{3}