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Beliebt Algebra >

6x^3+13x^2+2x-5=0

Lösung

6 x^{3} + 13 x^{2} + 2 x - 5 = 0

Lösung

x = - 1, x = \frac{1}{2}, x = - \frac{5}{3}

+1

Dezimale

x = - 1, x = 0.5, x = - 1.66666 \dots

Schritte zur Lösung

6 x^{3} + 13 x^{2} + 2 x - 5 = 0

Faktorisiere

6 x^{3} + 13 x^{2} + 2 x - 5 : (x + 1) (2 x - 1) (3 x + 5)

(x + 1) (2 x - 1) (3 x + 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 2 x - 1 = 0 or 3 x + 5 = 0

Löse

x + 1 = 0 : x = - 1

Löse

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

Löse

3 x + 5 = 0 : x = - \frac{5}{3}

Die Lösungen sind

x = - 1, x = \frac{1}{2}, x = - \frac{5}{3}

Graph

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