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Beliebt Algebra >

6x^3+43x^2+43x+6=0

Lösung

6 x^{3} + 43 x^{2} + 43 x + 6 = 0

Lösung

x = - 1, x = - \frac{1}{6}, x = - 6

+1

Dezimale

x = - 1, x = - 0.16666 \dots, x = - 6

Schritte zur Lösung

6 x^{3} + 43 x^{2} + 43 x + 6 = 0

Faktorisiere

6 x^{3} + 43 x^{2} + 43 x + 6 : (x + 1) (6 x + 1) (x + 6)

(x + 1) (6 x + 1) (x + 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 6 x + 1 = 0 or x + 6 = 0

Löse

x + 1 = 0 : x = - 1

Löse

6 x + 1 = 0 : x = - \frac{1}{6}

Löse

x + 6 = 0 : x = - 6

Die Lösungen sind

x = - 1, x = - \frac{1}{6}, x = - 6

Graph

Beliebte Beispiele

4 x^{4} - 12 x^{2} - 7 = 0

28x^3-6x^2+12x-8=0

28 x^{3} - 6 x^{2} + 12 x - 8 = 0

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5 x^{3} = 6