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Beliebt Algebra >

3x^4+5x^3-12x^2-20x=0

Lösung

3 x^{4} + 5 x^{3} - 12 x^{2} - 20 x = 0

Lösung

x = 0, x = - \frac{5}{3}, x = - 2, x = 2

+1

Dezimale

x = 0, x = - 1.66666 \dots, x = - 2, x = 2

Schritte zur Lösung

3 x^{4} + 5 x^{3} - 12 x^{2} - 20 x = 0

Faktorisiere

3 x^{4} + 5 x^{3} - 12 x^{2} - 20 x : x (3 x + 5) (x + 2) (x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = 0, x = - \frac{5}{3}, x = - 2, x = 2

Graph

Beliebte Beispiele

6 b^{3} - 9 b^{2} + 2 = 0

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x^6-14x^4+3x^2-42=0

x^{6} - 14 x^{4} + 3 x^{2} - 42 = 0

x^4-x^3-13x^2+x+12=0

x^{4} - x^{3} - 13 x^{2} + x + 12 = 0