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Beliebt Algebra >

3x^3+4x^2-9x-12=0

Lösung

3 x^{3} + 4 x^{2} - 9 x - 12 = 0

Lösung

x = - \frac{4}{3}, x = - 3, x = 3

+1

Dezimale

x = - 1.33333 \dots, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

3 x^{3} + 4 x^{2} - 9 x - 12 = 0

Faktorisiere

3 x^{3} + 4 x^{2} - 9 x - 12 : (3 x + 4) (x + 3) (x - 3)

(3 x + 4) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x + 4 = 0 or x + 3 = 0 or x - 3 = 0

Löse

3 x + 4 = 0 : x = - \frac{4}{3}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - \frac{4}{3}, x = - 3, x = 3

Graph

Beliebte Beispiele

x^3-16x^2+75x-90=0

x^{3} - 16 x^{2} + 75 x - 90 = 0

solvefor x,(d^2x)/(dt^2)=2x^3

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