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Beliebt Algebra >

2x^4-9x^3+6x^2+11x-6=0

Lösung

2 x^{4} - 9 x^{3} + 6 x^{2} + 11 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} - 9 x^{3} + 6 x^{2} + 11 x - 6 = 0

Faktorisiere

2 x^{4} - 9 x^{3} + 6 x^{2} + 11 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

2x^4-3x^3-7x^2-8x+6=0

2 x^{4} - 3 x^{3} - 7 x^{2} - 8 x + 6 = 0

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