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Beliebt Algebra >

12x^4+11x^3-26x^2+x+2=0

Lösung

12 x^{4} + 11 x^{3} - 26 x^{2} + x + 2 = 0

Lösung

x = 1, x = - 2, x = - \frac{1}{4}, x = \frac{1}{3}

+1

Dezimale

x = 1, x = - 2, x = - 0.25, x = 0.33333 \dots

Schritte zur Lösung

12 x^{4} + 11 x^{3} - 26 x^{2} + x + 2 = 0

Faktorisiere

12 x^{4} + 11 x^{3} - 26 x^{2} + x + 2 : (x - 1) (x + 2) (4 x + 1) (3 x - 1)

(x - 1) (x + 2) (4 x + 1) (3 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x + 2 = 0 or 4 x + 1 = 0 or 3 x - 1 = 0

Löse

x - 1 = 0 : x = 1

Löse

x + 2 = 0 : x = - 2

Löse

4 x + 1 = 0 : x = - \frac{1}{4}

Löse

3 x - 1 = 0 : x = \frac{1}{3}

Die Lösungen sind

x = 1, x = - 2, x = - \frac{1}{4}, x = \frac{1}{3}

Graph

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