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Beliebt Algebra >

3x^4+14x^3+14x^2-8x-8=0

Lösung

3 x^{4} + 14 x^{3} + 14 x^{2} - 8 x - 8 = 0

Lösung

x = - 2, x = - \frac{2}{3}, x = - 1 + 3, x = - 1 - 3

+1

Dezimale

x = - 2, x = - 0.66666 \dots, x = 0.73205 \dots, x = - 2.73205 \dots

Schritte zur Lösung

3 x^{4} + 14 x^{3} + 14 x^{2} - 8 x - 8 = 0

Faktorisiere

3 x^{4} + 14 x^{3} + 14 x^{2} - 8 x - 8 : (x + 2) (3 x + 2) (x^{2} + 2 x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 2 = 0 : x = - 2

Löse

3 x + 2 = 0 : x = - \frac{2}{3}

Löse

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

Die Lösungen sind

x = - 2, x = - \frac{2}{3}, x = - 1 + 3, x = - 1 - 3

Graph

Beliebte Beispiele

3 x^{3} + 21 x^{5} = 0

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