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Beliebt Algebra >

(6x^2-x-2)(ax+9)=0,a\ne 0

Lösung

(6 x^{2} - x - 2) (a x + 9) = 0, a \neq = 0

Lösung

x = - \frac{1}{2}, x = \frac{2}{3}, x = - \frac{9}{a}; a \neq = 0

+1

Dezimale

x = - 0.5, x = 0.66666 \dots

Schritte zur Lösung

(6 x^{2} - x - 2) (a x + 9) = 0, a \neq = 0

Faktorisiere

(6 x^{2} - x - 2) (a x + 9) : (2 x + 1) (3 x - 2) (a x + 9)

(2 x + 1) (3 x - 2) (a x + 9) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 1 = 0 or 3 x - 2 = 0 or a x + 9 = 0

Löse

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

Löse

3 x - 2 = 0 : x = \frac{2}{3}

Löse

a x + 9 = 0 : x = - \frac{9}{a}; a \neq = 0

Die Lösungen sind

x = - \frac{1}{2}, x = \frac{2}{3}, x = - \frac{9}{a}; a \neq = 0

Graph

Beliebte Beispiele

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16 x^{3} + 64 x^{2} - 25 x - 100 = 0

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