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Beliebt Algebra >

4w^3(w+1)-9w(w+1)=0

Lösung

4 w^{3} (w + 1) - 9 w (w + 1) = 0

Lösung

w = 0, w = - 1, w = - \frac{3}{2}, w = \frac{3}{2}

+1

Dezimale

w = 0, w = - 1, w = - 1.5, w = 1.5

Schritte zur Lösung

4 w^{3} (w + 1) - 9 w (w + 1) = 0

Faktorisiere

4 w^{3} (w + 1) - 9 w (w + 1) : w (w + 1) (2 w + 3) (2 w - 3)

w (w + 1) (2 w + 3) (2 w - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

w = 0 or w + 1 = 0 or 2 w + 3 = 0 or 2 w - 3 = 0

Löse

w + 1 = 0 : w = - 1

Löse

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

Löse

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

Die Lösungen sind

w = 0, w = - 1, w = - \frac{3}{2}, w = \frac{3}{2}

Graph

Beliebte Beispiele

x^{4} - 1 3^{2} + 40 = 0

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(1+0.02)^{12}=(1+x)^4

(1 + 0.02)^{12} = (1 + x)^{4}