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Beliebt Algebra >

x(x^2-36)(9x^2-4)=0

Lösung

x (x^{2} - 36) (9 x^{2} - 4) = 0

Lösung

x = 0, x = - 6, x = 6, x = - \frac{2}{3}, x = \frac{2}{3}

+1

Dezimale

x = 0, x = - 6, x = 6, x = - 0.66666 \dots, x = 0.66666 \dots

Schritte zur Lösung

x (x^{2} - 36) (9 x^{2} - 4) = 0

Faktorisiere

x (x^{2} - 36) (9 x^{2} - 4) : x (x + 6) (x - 6) (3 x + 2) (3 x - 2)

x (x + 6) (x - 6) (3 x + 2) (3 x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x + 6 = 0 or x - 6 = 0 or 3 x + 2 = 0 or 3 x - 2 = 0

Löse

x + 6 = 0 : x = - 6

Löse

x - 6 = 0 : x = 6

Löse

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

Löse

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

Die Lösungen sind

x = 0, x = - 6, x = 6, x = - \frac{2}{3}, x = \frac{2}{3}

Graph

Beliebte Beispiele

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