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Beliebt Algebra >

2x^3+x^2-26x-13=0

Lösung

2 x^{3} + x^{2} - 26 x - 13 = 0

Lösung

x = - \frac{1}{2}, x = - 13, x = 13

+1

Dezimale

x = - 0.5, x = - 3.60555 \dots, x = 3.60555 \dots

Schritte zur Lösung

2 x^{3} + x^{2} - 26 x - 13 = 0

Faktorisiere

2 x^{3} + x^{2} - 26 x - 13 : (2 x + 1) (x + 13) (x - 13)

(2 x + 1) (x + 13) (x - 13) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 1 = 0 or x + 13 = 0 or x - 13 = 0

Löse

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

Löse

x + 13 = 0 : x = - 13

Löse

x - 13 = 0 : x = 13

Die Lösungen sind

x = - \frac{1}{2}, x = - 13, x = 13

Graph

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