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Beliebt Algebra >

3x^4+2x^3-9x^2+4=0

Lösung

3 x^{4} + 2 x^{3} - 9 x^{2} + 4 = 0

Lösung

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

+1

Dezimale

x = 1, x = - 0.66666 \dots, x = - 2

Schritte zur Lösung

3 x^{4} + 2 x^{3} - 9 x^{2} + 4 = 0

Faktorisiere

3 x^{4} + 2 x^{3} - 9 x^{2} + 4 : (x - 1)^{2} (3 x + 2) (x + 2)

(x - 1)^{2} (3 x + 2) (x + 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

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

Löse

x + 2 = 0 : x = - 2

Die Lösungen sind

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

Graph

Beliebte Beispiele

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