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Beliebt Algebra >

x(2x+3)(4x^2-81)=0

Lösung

x (2 x + 3) (4 x^{2} - 81) = 0

Lösung

x = 0, x = - \frac{3}{2}, x = - \frac{9}{2}, x = \frac{9}{2}

+1

Dezimale

x = 0, x = - 1.5, x = - 4.5, x = 4.5

Schritte zur Lösung

x (2 x + 3) (4 x^{2} - 81) = 0

Faktorisiere

x (2 x + 3) (4 x^{2} - 81) : x (2 x + 3) (2 x + 9) (2 x - 9)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

2 x + 9 = 0 : x = - \frac{9}{2}

Löse

2 x - 9 = 0 : x = \frac{9}{2}

Die Lösungen sind

x = 0, x = - \frac{3}{2}, x = - \frac{9}{2}, x = \frac{9}{2}

Graph

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