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Beliebt Algebra >

2x^4-13x^3+28x^2-23x+6=0

Lösung

2 x^{4} - 13 x^{3} + 28 x^{2} - 23 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} - 13 x^{3} + 28 x^{2} - 23 x + 6 = 0

Faktorisiere

2 x^{4} - 13 x^{3} + 28 x^{2} - 23 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

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x^4+4x^3-3x^2-11x-6=0

x^{4} + 4 x^{3} - 3 x^{2} - 11 x - 6 = 0

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