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Beliebt Algebra >

3x^3+7x^2-4=0

Lösung

3 x^{3} + 7 x^{2} - 4 = 0

Lösung

x = - 1, x = \frac{2}{3}, x = - 2

+1

Dezimale

x = - 1, x = 0.66666 \dots, x = - 2

Schritte zur Lösung

3 x^{3} + 7 x^{2} - 4 = 0

Faktorisiere

3 x^{3} + 7 x^{2} - 4 : (x + 1) (3 x - 2) (x + 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

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

Löse

x + 2 = 0 : x = - 2

Die Lösungen sind

x = - 1, x = \frac{2}{3}, x = - 2

Graph

Beliebte Beispiele

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x^{5} + x^{15} + x^{25} = 780

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