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Beliebt Algebra >

2x^4-x^3-14x^2+19x-6=0

Lösung

2 x^{4} - x^{3} - 14 x^{2} + 19 x - 6 = 0

Lösung

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

+1

Dezimale

x = 1, x = 2, x = 0.5, x = - 3

Schritte zur Lösung

2 x^{4} - x^{3} - 14 x^{2} + 19 x - 6 = 0

Faktorisiere

2 x^{4} - x^{3} - 14 x^{2} + 19 x - 6 : (x - 1) (x - 2) (2 x - 1) (x + 3)

(x - 1) (x - 2) (2 x - 1) (x + 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

x - 2 = 0 : x = 2

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Löse

x + 3 = 0 : x = - 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{11} + x^{3} = 2

4x^3+7x^2-28x-49=0

4 x^{3} + 7 x^{2} - 28 x - 49 = 0

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

z^{5} = 1 - i

4 x^{3} - 48 x^{2} = 0