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Beliebt Algebra >

20x^3-90x=0

Lösung

20 x^{3} - 90 x = 0

Lösung

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

+1

Dezimale

x = 0, x = - 2.12132 \dots, x = 2.12132 \dots

Schritte zur Lösung

20 x^{3} - 90 x = 0

Faktorisiere

20 x^{3} - 90 x : 10 x (2 x + 3) (2 x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

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48.46 x^{3} - 12.6 x + 0.005 = 0

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2x^4-11x^2+12=0

2 x^{4} - 11 x^{2} + 12 = 0

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